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Simplifying 2(x + 1) + -3(x + -2) = -2(x + 5) Reorder the terms: 2(1 + x) + -3(x + -2) = -2(x + 5) (1 * 2 + x * 2) + -3(x + -2) = -2(x + 5) (2 + 2x) + -3(x + -2) = -2(x + 5) Reorder the terms: 2 + 2x + -3(-2 + x) = -2(x + 5) 2 + 2x + (-2 * -3 + x * -3) = -2(x + 5) 2 + 2x + (6 + -3x) = -2(x + 5) Reorder the terms: 2 + 6 + 2x + -3x = -2(x + 5) Combine like terms: 2 + 6 = 8 8 + 2x + -3x = -2(x + 5) Combine like terms: 2x + -3x = -1x 8 + -1x = -2(x + 5) Reorder the terms: 8 + -1x = -2(5 + x) 8 + -1x = (5 * -2 + x * -2) 8 + -1x = (-10 + -2x) Solving 8 + -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. 8 + -1x + 2x = -10 + -2x + 2x Combine like terms: -1x + 2x = 1x 8 + 1x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 1x = -10 + 0 8 + 1x = -10 Add '-8' to each side of the equation. 8 + -8 + 1x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -10 + -8 1x = -10 + -8 Combine like terms: -10 + -8 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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