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Simplifying 5(3 + -2x) = 2(4 + 5x) (3 * 5 + -2x * 5) = 2(4 + 5x) (15 + -10x) = 2(4 + 5x) 15 + -10x = (4 * 2 + 5x * 2) 15 + -10x = (8 + 10x) Solving 15 + -10x = 8 + 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 + -10x + -10x = 8 + 10x + -10x Combine like terms: -10x + -10x = -20x 15 + -20x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -20x = 8 + 0 15 + -20x = 8 Add '-15' to each side of the equation. 15 + -15 + -20x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -20x = 8 + -15 -20x = 8 + -15 Combine like terms: 8 + -15 = -7 -20x = -7 Divide each side by '-20'. x = 0.35 Simplifying x = 0.35
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