What’s the answer 7x + 7=7(x+_)<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the equation ( 7x + 7 = 7(x + __) ), we need to determine the value that should replace the blank space (__).<\/p>\n\n\n\n The equation can be rewritten as follows:<\/p>\n\n\n\n [ We can distribute the (7) on the right side:<\/p>\n\n\n\n [ Since both sides have (7x), we can simplify further by subtracting (7x) from both sides:<\/p>\n\n\n\n [ To isolate the blank, we can divide both sides of the equation by (7):<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Thus, the correct value that replaces the blank is (1).<\/p>\n\n\n\n The completed equation is:<\/p>\n\n\n\n [ This equation illustrates the distributive property of multiplication over addition. In essence, the left side ((7x + 7)) can be expressed as (7) multiplied by the sum of (x) and (1) on the right side ((7(x + 1))). This relationship shows that adding a constant to the variable can be factored out when multiplied by a coefficient (in this case, (7)).<\/p>\n\n\n\n Understanding this principle is essential in algebra as it helps to simplify and solve equations more efficiently. It highlights how expressions can be manipulated while maintaining equality, which is a foundational concept in mathematics.<\/p>\n","protected":false},"excerpt":{"rendered":" What’s the answer 7x + 7=7(x+_) The Correct Answer and Explanation is : To solve the equation ( 7x + 7 = 7(x + __) ), we need to determine the value that should replace the blank space (__). Step 1: Simplify the right side of the equation The equation can be rewritten as follows: […]<\/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-148043","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/148043","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=148043"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/148043\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=148043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=148043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=148043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Simplify the right side of the equation<\/h3>\n\n\n\n
7x + 7 = 7(x + __)
]<\/p>\n\n\n\n
7x + 7 = 7x + 7 \\cdot __
]<\/p>\n\n\n\nStep 2: Set the left side equal to the right side<\/h3>\n\n\n\n
7 = 7 \\cdot __
]<\/p>\n\n\n\nStep 3: Solve for the blank space (__)<\/h3>\n\n\n\n
\\frac{7}{7} = __
]<\/p>\n\n\n\n
1 = __
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n
7x + 7 = 7(x + 1)
]<\/p>\n\n\n\n