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Simplifying 2 + -1(5x + -10) = 5(3 + -2x) + -1x Reorder the terms: 2 + -1(-10 + 5x) = 5(3 + -2x) + -1x 2 + (-10 * -1 + 5x * -1) = 5(3 + -2x) + -1x 2 + (10 + -5x) = 5(3 + -2x) + -1x Combine like terms: 2 + 10 = 12 12 + -5x = 5(3 + -2x) + -1x 12 + -5x = (3 * 5 + -2x * 5) + -1x 12 + -5x = (15 + -10x) + -1x Combine like terms: -10x + -1x = -11x 12 + -5x = 15 + -11x Solving 12 + -5x = 15 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 12 + -5x + 11x = 15 + -11x + 11x Combine like terms: -5x + 11x = 6x 12 + 6x = 15 + -11x + 11x Combine like terms: -11x + 11x = 0 12 + 6x = 15 + 0 12 + 6x = 15 Add '-12' to each side of the equation. 12 + -12 + 6x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 15 + -12 6x = 15 + -12 Combine like terms: 15 + -12 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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