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Simplifying 3(4x + 5) = -4(2x + -4) Reorder the terms: 3(5 + 4x) = -4(2x + -4) (5 * 3 + 4x * 3) = -4(2x + -4) (15 + 12x) = -4(2x + -4) Reorder the terms: 15 + 12x = -4(-4 + 2x) 15 + 12x = (-4 * -4 + 2x * -4) 15 + 12x = (16 + -8x) Solving 15 + 12x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + 12x + 8x = 16 + -8x + 8x Combine like terms: 12x + 8x = 20x 15 + 20x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 20x = 16 + 0 15 + 20x = 16 Add '-15' to each side of the equation. 15 + -15 + 20x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = 16 + -15 20x = 16 + -15 Combine like terms: 16 + -15 = 1 20x = 1 Divide each side by '20'. x = 0.05 Simplifying x = 0.05
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