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Simplifying 5(x + 4) = -3(-4 + x) Reorder the terms: 5(4 + x) = -3(-4 + x) (4 * 5 + x * 5) = -3(-4 + x) (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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