{"id":274147,"date":"2025-07-28T05:40:32","date_gmt":"2025-07-28T05:40:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=274147"},"modified":"2025-07-28T05:40:35","modified_gmt":"2025-07-28T05:40:35","slug":"1-24xx-46","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/1-24xx-46\/","title":{"rendered":"1-24x+x-46"},"content":{"rendered":"\n<p>1-24x+x-46<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The expression provided is:<\/p>\n\n\n\n<p>1 &#8211; 24x + x &#8211; 46.<\/p>\n\n\n\n<p>To simplify this expression, you need to combine like terms. &#8220;Like terms&#8221; are terms that involve the same variable raised to the same power, in this case, terms that contain the variable <strong>x<\/strong> and constant terms.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the like terms<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>x<\/strong> terms are: <strong>-24x<\/strong> and <strong>x<\/strong>.<\/li>\n\n\n\n<li>The constant terms are: <strong>1<\/strong> and <strong>-46<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Combine the x terms<\/h3>\n\n\n\n<p>To combine <strong>-24x<\/strong> and <strong>x<\/strong>, you can think of <strong>x<\/strong> as <strong>1x<\/strong>. So the operation becomes: \u221224x+1x=\u221223x.-24x + 1x = -23x.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Combine the constants<\/h3>\n\n\n\n<p>Now, combine the constants <strong>1<\/strong> and <strong>-46<\/strong>: 1\u221246=\u221245.1 &#8211; 46 = -45.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Write the simplified expression<\/h3>\n\n\n\n<p>Now that you&#8217;ve combined like terms, the simplified expression is: \u221223x\u221245.-23x &#8211; 45.<\/p>\n\n\n\n<p>Thus, the correct answer is <strong>-23x &#8211; 45<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Simplifying algebraic expressions involves the process of combining terms that have the same variable or no variable at all (constants). In this case, you combined the <strong>x<\/strong> terms and the constant terms separately. By doing so, you eliminated the extra variables or constants that were not needed and arrived at a more manageable form of the expression. This step is an important skill in algebra, as it helps to simplify complex expressions and make solving equations much easier.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1-24x+x-46 The correct answer and explanation is: The expression provided is: 1 &#8211; 24x + x &#8211; 46. To simplify this expression, you need to combine like terms. &#8220;Like terms&#8221; are terms that involve the same variable raised to the same power, in this case, terms that contain the variable x and constant terms. Step [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-274147","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274147","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=274147"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274147\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=274147"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=274147"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=274147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}