Answer
$x=-3$
Work Step by Step
$|x+24|=-7x$ implies $x+24=-7x\\24=-8x\\x=-3$ or $x+24=7x\\24=6x\\x=4$.
Here $x=4$ is an extraneous solution. Thus $x=-3$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 35
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