Analyze the solution shown. 1. - |-x| = 7: given
2. |-x| = - 7: multiplication property of equality
3. - x = 7 or - x = - 7: definition of absolute value
4. x = - 7 or x = 7: multiplication property of equality
5. Check: - | - (-7) | = 7, - 7 ≠ 7
-|-7| = 7, 7 = 7
Negative times negative is positive.
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