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What is the absolute value of 2-x=12

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|-x + 2| = 12
|-x + 2| = 12 or |-x + 2| = -12
-x + 2 = 12 or -x + 2 = -12
- 2 - 2 - 2 -2
-x = 10 or -x = -14
-1 -1 -1 -1
x = -10 or x = 14

Solution Set: {-10, 14}
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