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Simplifying 10(3 + x) = -5(2x + -4) (3 * 10 + x * 10) = -5(2x + -4) (30 + 10x) = -5(2x + -4) Reorder the terms: 30 + 10x = -5(-4 + 2x) 30 + 10x = (-4 * -5 + 2x * -5) 30 + 10x = (20 + -10x) Solving 30 + 10x = 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. 30 + 10x + 10x = 20 + -10x + 10x Combine like terms: 10x + 10x = 20x 30 + 20x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + 20x = 20 + 0 30 + 20x = 20 Add '-30' to each side of the equation. 30 + -30 + 20x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = 20 + -30 20x = 20 + -30 Combine like terms: 20 + -30 = -10 20x = -10 Divide each side by '20'. x = -0.5 Simplifying x = -0.5
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