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32-x=-\left(-6\right)+|-12|
Add 15 and 17 to get 32.
32-x=6+|-12|
The opposite of -6 is 6.
32-x=6+12
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -12 is 12.
32-x=18
Add 6 and 12 to get 18.
-x=18-32
Subtract 32 from both sides.
-x=-14
Subtract 32 from 18 to get -14.
x=14
Multiply both sides by -1.