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Simplifying -2(x + -4) = 3x + -32 Reorder the terms: -2(-4 + x) = 3x + -32 (-4 * -2 + x * -2) = 3x + -32 (8 + -2x) = 3x + -32 Reorder the terms: 8 + -2x = -32 + 3x Solving 8 + -2x = -32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -2x + -3x = -32 + 3x + -3x Combine like terms: -2x + -3x = -5x 8 + -5x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -5x = -32 + 0 8 + -5x = -32 Add '-8' to each side of the equation. 8 + -8 + -5x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -32 + -8 -5x = -32 + -8 Combine like terms: -32 + -8 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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