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To solve for x in the equation -12x + 20 = -10x + 32, you need to isolate x on one side of the equation.
First, combine like terms by adding 10x to both sides:
-12x + 20 + 10x = -10x + 32 + 10x
-2x + 20 = 32
Next, subtract 20 from both sides:
-2x + 20 - 20 = 32 - 20
-2x = 12
Finally, divide by -2 to solve for x:
x = -12 / -2
x = 6
Therefore, x = 6 is the solution to the equation -12x + 20 = -10x + 32.