Answer
$\left\{-5, 5\right\}$
Work Step by Step
RECALL:
If $|x| = a$, then either $x=a$ or $x=-a$.
Using the rule above gives:
If $|x|=5$, then either $x=5$ or $x=-5$.
Therefore, the solution set is $\left\{-5, 5\right\}$.
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