Chapter 1 - Review Exercises: 61

$x=\{ -7,7 \}$

Work Step by Step

Since for any $a\gt0$, $|x|=a$ implies $x=a$ or $x=-a$, then the given equation, $|x|=7 ,$ is equivalent to \begin{array}{l}\require{cancel} x=7 \text{ OR } x=-7 .\end{array} Hence, the solutions are $x=\{ -7,7 \} .$

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