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Simplifying 3(x + 1) = -2(x + -1) Reorder the terms: 3(1 + x) = -2(x + -1) (1 * 3 + x * 3) = -2(x + -1) (3 + 3x) = -2(x + -1) Reorder the terms: 3 + 3x = -2(-1 + x) 3 + 3x = (-1 * -2 + x * -2) 3 + 3x = (2 + -2x) Solving 3 + 3x = 2 + -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. 3 + 3x + 2x = 2 + -2x + 2x Combine like terms: 3x + 2x = 5x 3 + 5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 5x = 2 + 0 3 + 5x = 2 Add '-3' to each side of the equation. 3 + -3 + 5x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 2 + -3 5x = 2 + -3 Combine like terms: 2 + -3 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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