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.