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