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Simplifying (1 + x)(x + -1) = 0 Reorder the terms: (1 + x)(-1 + x) = 0 Multiply (1 + x) * (-1 + x) (1(-1 + x) + x(-1 + x)) = 0 ((-1 * 1 + x * 1) + x(-1 + x)) = 0 ((-1 + 1x) + x(-1 + x)) = 0 (-1 + 1x + (-1 * x + x * x)) = 0 (-1 + 1x + (-1x + x2)) = 0 Combine like terms: 1x + -1x = 0 (-1 + 0 + x2) = 0 (-1 + x2) = 0 Solving -1 + x2 = 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 + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x2 = 0 + 1 x2 = 0 + 1 Combine like terms: 0 + 1 = 1 x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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