Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 54: 91

Answer

Makes sense.

Work Step by Step

Yes, you could have simplified the parentheses by combining like terms first: $3(2x+5x)=3(7x)=(3\cdot 7)x=21x$ (using the associative property instead). Makes sense. Note: Although "combining like terms mentally" actually does involve applying the distributive property, the idea here is that the 3 was not distributed as $3(2x)+3(5x).$
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