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Simplifying -5(x + -4) = 32 + -3x Reorder the terms: -5(-4 + x) = 32 + -3x (-4 * -5 + x * -5) = 32 + -3x (20 + -5x) = 32 + -3x Solving 20 + -5x = 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. 20 + -5x + 3x = 32 + -3x + 3x Combine like terms: -5x + 3x = -2x 20 + -2x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + -2x = 32 + 0 20 + -2x = 32 Add '-20' to each side of the equation. 20 + -20 + -2x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 32 + -20 -2x = 32 + -20 Combine like terms: 32 + -20 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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