To solve the equation \(-12x + 20 = -10x + 32\), follow these steps:
- First, add \(12x\) to both sides to start isolating \(x\):
\[ 20 = 2x + 32 \]
- Next, subtract \(32\) from both sides:
\[ 20 - 32 = 2x \]
\[ -12 = 2x \]
- Now, divide both sides by \(2\):
\[ x = \frac{-12}{2} = -6 \]
So the solution is:
\[ x = -6 \]
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