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Simplifying -4[3x + -2] = -32 Reorder the terms: -4[-2 + 3x] = -32 [-2 * -4 + 3x * -4] = -32 [8 + -12x] = -32 Solving 8 + -12x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -12x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -32 + -8 -12x = -32 + -8 Combine like terms: -32 + -8 = -40 -12x = -40 Divide each side by '-12'. x = 3.333333333 Simplifying x = 3.333333333
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