Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - Chapter 1 Test - Page 39: 25



Work Step by Step

We start with the given expression: $-2(x-4)-5(x+7)-6(x-1)$ We use the distributive property: $-2x+8-5x-35-6x+6$ We use the commutative property to rearrange like terms: $-2x-5x-6x+8+6-35$ We use a form of the distributive property to combine like terms: $(-2-5-6)x+(8+6-35)$ We add and subtract inside the sets of parentheses: $-13x-21$
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