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Simplifying x(x + 1) + -1x(x + -1) = 0 Reorder the terms: x(1 + x) + -1x(x + -1) = 0 (1 * x + x * x) + -1x(x + -1) = 0 (1x + x2) + -1x(x + -1) = 0 Reorder the terms: 1x + x2 + -1x(-1 + x) = 0 1x + x2 + (-1 * -1x + x * -1x) = 0 1x + x2 + (1x + -1x2) = 0 Reorder the terms: 1x + 1x + x2 + -1x2 = 0 Combine like terms: 1x + 1x = 2x 2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 2x + 0 = 0 2x = 0 Solving 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 0 Simplifying x = 0
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