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Simplifying 5(x + 1) + -3(x + -1) = 0 Reorder the terms: 5(1 + x) + -3(x + -1) = 0 (1 * 5 + x * 5) + -3(x + -1) = 0 (5 + 5x) + -3(x + -1) = 0 Reorder the terms: 5 + 5x + -3(-1 + x) = 0 5 + 5x + (-1 * -3 + x * -3) = 0 5 + 5x + (3 + -3x) = 0 Reorder the terms: 5 + 3 + 5x + -3x = 0 Combine like terms: 5 + 3 = 8 8 + 5x + -3x = 0 Combine like terms: 5x + -3x = 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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