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Simplifying 3(4x + 5) = -5(2x + -4) Reorder the terms: 3(5 + 4x) = -5(2x + -4) (5 * 3 + 4x * 3) = -5(2x + -4) (15 + 12x) = -5(2x + -4) Reorder the terms: 15 + 12x = -5(-4 + 2x) 15 + 12x = (-4 * -5 + 2x * -5) 15 + 12x = (20 + -10x) Solving 15 + 12x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + 12x + 10x = 20 + -10x + 10x Combine like terms: 12x + 10x = 22x 15 + 22x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 22x = 20 + 0 15 + 22x = 20 Add '-15' to each side of the equation. 15 + -15 + 22x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 22x = 20 + -15 22x = 20 + -15 Combine like terms: 20 + -15 = 5 22x = 5 Divide each side by '22'. x = 0.2272727273 Simplifying x = 0.2272727273
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