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