Solve |-6 + x| = 16.
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To solve the equation |-6 + x| = 16, we can break it down into two separate equations:
1) -6 + x = 16
2) -(-6 + x) = 16
Solving the first equation:
-6 + x = 16
x = 16 + 6
x = 22
Solving the second equation:
-(-6 + x) = 16
6 - x = 16
-x = 16 - 6
-x = 10
x = -10
The equation has two solutions: x = 22 and x = -10.