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Simplifying 4(3 + -1x) = x + 32 (3 * 4 + -1x * 4) = x + 32 (12 + -4x) = x + 32 Reorder the terms: 12 + -4x = 32 + x Solving 12 + -4x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -4x + -1x = 32 + x + -1x Combine like terms: -4x + -1x = -5x 12 + -5x = 32 + x + -1x Combine like terms: x + -1x = 0 12 + -5x = 32 + 0 12 + -5x = 32 Add '-12' to each side of the equation. 12 + -12 + -5x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 32 + -12 -5x = 32 + -12 Combine like terms: 32 + -12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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