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Simplifying -2(5x + -10) = 5(3 + -2x) + -1x Reorder the terms: -2(-10 + 5x) = 5(3 + -2x) + -1x (-10 * -2 + 5x * -2) = 5(3 + -2x) + -1x (20 + -10x) = 5(3 + -2x) + -1x 20 + -10x = (3 * 5 + -2x * 5) + -1x 20 + -10x = (15 + -10x) + -1x Combine like terms: -10x + -1x = -11x 20 + -10x = 15 + -11x Solving 20 + -10x = 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. 20 + -10x + 11x = 15 + -11x + 11x Combine like terms: -10x + 11x = 1x 20 + 1x = 15 + -11x + 11x Combine like terms: -11x + 11x = 0 20 + 1x = 15 + 0 20 + 1x = 15 Add '-20' to each side of the equation. 20 + -20 + 1x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 15 + -20 1x = 15 + -20 Combine like terms: 15 + -20 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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