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Simplifying 3(x + 1) + 2(x + -1) = 0 Reorder the terms: 3(1 + x) + 2(x + -1) = 0 (1 * 3 + x * 3) + 2(x + -1) = 0 (3 + 3x) + 2(x + -1) = 0 Reorder the terms: 3 + 3x + 2(-1 + x) = 0 3 + 3x + (-1 * 2 + x * 2) = 0 3 + 3x + (-2 + 2x) = 0 Reorder the terms: 3 + -2 + 3x + 2x = 0 Combine like terms: 3 + -2 = 1 1 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 1 + 5x = 0 Solving 1 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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