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Simplifying x + -2(x + -1) = 3x + -5(x + 2) Reorder the terms: x + -2(-1 + x) = 3x + -5(x + 2) x + (-1 * -2 + x * -2) = 3x + -5(x + 2) x + (2 + -2x) = 3x + -5(x + 2) Reorder the terms: 2 + x + -2x = 3x + -5(x + 2) Combine like terms: x + -2x = -1x 2 + -1x = 3x + -5(x + 2) Reorder the terms: 2 + -1x = 3x + -5(2 + x) 2 + -1x = 3x + (2 * -5 + x * -5) 2 + -1x = 3x + (-10 + -5x) Reorder the terms: 2 + -1x = -10 + 3x + -5x Combine like terms: 3x + -5x = -2x 2 + -1x = -10 + -2x Solving 2 + -1x = -10 + -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. 2 + -1x + 2x = -10 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = -10 + 0 2 + 1x = -10 Add '-2' to each side of the equation. 2 + -2 + 1x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -10 + -2 1x = -10 + -2 Combine like terms: -10 + -2 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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