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7(2x−3) = 63 Which equation has the same solution as the given equation? 2x−3 = 9
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. Dividing each side of the given equation by 7 yields 7 ^ 2 x 7 -3 h= 6 7 3 , or 2 x -3=9 . Therefore, the equation 2 x -3=9 is equivalent to the given equation and has the same solution. 7 2 -3 =392 Choice B is incorrect. This equation is equivalent to ^ x h , not 7 2 -3 =63 ^ x h . Choice C is incorrect. Distributing 7 on the left-hand side of the 14 -21=63 2 -21=63 given equation yields x , not x . Choice D is incorrect. 14 -21=63 Distributing 7 on the left-hand side of the given equation yields x , not 2 -21=70 x .
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