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