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Simplifying 5(-4x + 3) = 10x + -2 Reorder the terms: 5(3 + -4x) = 10x + -2 (3 * 5 + -4x * 5) = 10x + -2 (15 + -20x) = 10x + -2 Reorder the terms: 15 + -20x = -2 + 10x Solving 15 + -20x = -2 + 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 + -20x + -10x = -2 + 10x + -10x Combine like terms: -20x + -10x = -30x 15 + -30x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -30x = -2 + 0 15 + -30x = -2 Add '-15' to each side of the equation. 15 + -15 + -30x = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -30x = -2 + -15 -30x = -2 + -15 Combine like terms: -2 + -15 = -17 -30x = -17 Divide each side by '-30'. x = 0.5666666667 Simplifying x = 0.5666666667
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