Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1-3 - Cumulative Review - Page 228: 12



Work Step by Step

RECALL: The order of operations follow the PEMDAS rule: First Priority: P - parentheses or grouping symbols Second Priority: E - exponents Third Priority: M/D - multiplication or division, whichever comes first from the left Fourth Priority: A/S - addition or subtraction, whichever comes first from the left Use the PEMDAS rule to obtain: Simplify within the parentheses (from the innermost part): $=3(x-1)-2[x-2x-7] \\=3(x-1)-2[-x-7]$ Distribute $3$: $=3x-3-2[-x-7]$ Distribute $-2$: $=3x-3-2(-x)-2(-7) \\=3x-3+2x+14$ Combine like terms: $=(3x+2x)+(-3+14) \\=5x+11$
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