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Simplifying (x + 1)(x + -1x + 1) = 0 Reorder the terms: (1 + x)(x + -1x + 1) = 0 Reorder the terms: (1 + x)(1 + x + -1x) = 0 Combine like terms: x + -1x = 0 (1 + x)(1 + 0) = 0 (1 + x)(1) = 0 Reorder the terms for easier multiplication: 1(1 + x) = 0 (1 * 1 + x * 1) = 0 (1 + 1x) = 0 Solving 1 + 1x = 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 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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