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 1.5 - Addition of Real Numbers - Exercise Set - Page 63: 68


$-9x+(-11)x$, simplifies to $-20x$

Work Step by Step

the product of $-9$ and a number ... $\rightarrow$... $-9x$ ...which is increased by ... $\rightarrow -9x+...$ .... the product of $-11$ and a number$\quad\rightarrow -9x+(-11)x.$ This simplifies, first using the distributive property, $...=[ -9+(-11)]x$ ... then, adding same signed numbers, we keep the sign and add their absolute values: $=-(9+11)x$ $=-20x$
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