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Simplifying 10(1 + -2x) = -5(2x + -1) (1 * 10 + -2x * 10) = -5(2x + -1) (10 + -20x) = -5(2x + -1) Reorder the terms: 10 + -20x = -5(-1 + 2x) 10 + -20x = (-1 * -5 + 2x * -5) 10 + -20x = (5 + -10x) Solving 10 + -20x = 5 + -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. 10 + -20x + 10x = 5 + -10x + 10x Combine like terms: -20x + 10x = -10x 10 + -10x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + -10x = 5 + 0 10 + -10x = 5 Add '-10' to each side of the equation. 10 + -10 + -10x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 5 + -10 -10x = 5 + -10 Combine like terms: 5 + -10 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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