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Simplifying 3(5 + -4x) = 2(5x + 3) (5 * 3 + -4x * 3) = 2(5x + 3) (15 + -12x) = 2(5x + 3) Reorder the terms: 15 + -12x = 2(3 + 5x) 15 + -12x = (3 * 2 + 5x * 2) 15 + -12x = (6 + 10x) Solving 15 + -12x = 6 + 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 = 6 + 10x + -10x Combine like terms: -12x + -10x = -22x 15 + -22x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -22x = 6 + 0 15 + -22x = 6 Add '-15' to each side of the equation. 15 + -15 + -22x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -22x = 6 + -15 -22x = 6 + -15 Combine like terms: 6 + -15 = -9 -22x = -9 Divide each side by '-22'. x = 0.4090909091 Simplifying x = 0.4090909091
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