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Simplifying 5(3 + 2x) = -1(10x + 15) (3 * 5 + 2x * 5) = -1(10x + 15) (15 + 10x) = -1(10x + 15) Reorder the terms: 15 + 10x = -1(15 + 10x) 15 + 10x = (15 * -1 + 10x * -1) 15 + 10x = (-15 + -10x) Solving 15 + 10x = -15 + -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 = -15 + -10x + 10x Combine like terms: 10x + 10x = 20x 15 + 20x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 20x = -15 + 0 15 + 20x = -15 Add '-15' to each side of the equation. 15 + -15 + 20x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = -15 + -15 20x = -15 + -15 Combine like terms: -15 + -15 = -30 20x = -30 Divide each side by '20'. x = -1.5 Simplifying x = -1.5
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