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Simplifying 10 + -1(1 + -2x) = -5(2x + -1) 10 + (1 * -1 + -2x * -1) = -5(2x + -1) 10 + (-1 + 2x) = -5(2x + -1) Combine like terms: 10 + -1 = 9 9 + 2x = -5(2x + -1) Reorder the terms: 9 + 2x = -5(-1 + 2x) 9 + 2x = (-1 * -5 + 2x * -5) 9 + 2x = (5 + -10x) Solving 9 + 2x = 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. 9 + 2x + 10x = 5 + -10x + 10x Combine like terms: 2x + 10x = 12x 9 + 12x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 12x = 5 + 0 9 + 12x = 5 Add '-9' to each side of the equation. 9 + -9 + 12x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 5 + -9 12x = 5 + -9 Combine like terms: 5 + -9 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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