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Simplifying 3(x + 1) + -5(x + -1) = 0 Reorder the terms: 3(1 + x) + -5(x + -1) = 0 (1 * 3 + x * 3) + -5(x + -1) = 0 (3 + 3x) + -5(x + -1) = 0 Reorder the terms: 3 + 3x + -5(-1 + x) = 0 3 + 3x + (-1 * -5 + x * -5) = 0 3 + 3x + (5 + -5x) = 0 Reorder the terms: 3 + 5 + 3x + -5x = 0 Combine like terms: 3 + 5 = 8 8 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 8 + -2x = 0 Solving 8 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 0 + -8 -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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