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. determine the flaws in the solution. the multiplication property of equality in step 2 should result in |x| = 7. the definition of absolute value is applied incorrectly. there is no solution. the reason in step 4 should be the addition property of equality. the multiplication property of equality in step 4 should result in only x = 7. in evaluating the solutions, the absolute value should be simplified first to get a positive value.