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Simplifying -5(x + -4) = 3(x + 4) Reorder the terms: -5(-4 + x) = 3(x + 4) (-4 * -5 + x * -5) = 3(x + 4) (20 + -5x) = 3(x + 4) Reorder the terms: 20 + -5x = 3(4 + x) 20 + -5x = (4 * 3 + x * 3) 20 + -5x = (12 + 3x) Solving 20 + -5x = 12 + 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 = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x 20 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -8x = 12 + 0 20 + -8x = 12 Add '-20' to each side of the equation. 20 + -20 + -8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 12 + -20 -8x = 12 + -20 Combine like terms: 12 + -20 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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