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Simplifying 2(x + 1) + -3(x + -2) = -1(2x + 1) Reorder the terms: 2(1 + x) + -3(x + -2) = -1(2x + 1) (1 * 2 + x * 2) + -3(x + -2) = -1(2x + 1) (2 + 2x) + -3(x + -2) = -1(2x + 1) Reorder the terms: 2 + 2x + -3(-2 + x) = -1(2x + 1) 2 + 2x + (-2 * -3 + x * -3) = -1(2x + 1) 2 + 2x + (6 + -3x) = -1(2x + 1) Reorder the terms: 2 + 6 + 2x + -3x = -1(2x + 1) Combine like terms: 2 + 6 = 8 8 + 2x + -3x = -1(2x + 1) Combine like terms: 2x + -3x = -1x 8 + -1x = -1(2x + 1) Reorder the terms: 8 + -1x = -1(1 + 2x) 8 + -1x = (1 * -1 + 2x * -1) 8 + -1x = (-1 + -2x) Solving 8 + -1x = -1 + -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. 8 + -1x + 2x = -1 + -2x + 2x Combine like terms: -1x + 2x = 1x 8 + 1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 1x = -1 + 0 8 + 1x = -1 Add '-8' to each side of the equation. 8 + -8 + 1x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -1 + -8 1x = -1 + -8 Combine like terms: -1 + -8 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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