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Simplifying (x + -1)(x + -1) + 2 = x * x + -1 Reorder the terms: (-1 + x)(x + -1) + 2 = x * x + -1 Reorder the terms: (-1 + x)(-1 + x) + 2 = x * x + -1 Multiply (-1 + x) * (-1 + x) (-1(-1 + x) + x(-1 + x)) + 2 = x * x + -1 ((-1 * -1 + x * -1) + x(-1 + x)) + 2 = x * x + -1 ((1 + -1x) + x(-1 + x)) + 2 = x * x + -1 (1 + -1x + (-1 * x + x * x)) + 2 = x * x + -1 (1 + -1x + (-1x + x2)) + 2 = x * x + -1 Combine like terms: -1x + -1x = -2x (1 + -2x + x2) + 2 = x * x + -1 Reorder the terms: 1 + 2 + -2x + x2 = x * x + -1 Combine like terms: 1 + 2 = 3 3 + -2x + x2 = x * x + -1 Multiply x * x 3 + -2x + x2 = x2 + -1 Reorder the terms: 3 + -2x + x2 = -1 + x2 Add '-1x2' to each side of the equation. 3 + -2x + x2 + -1x2 = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + -2x + 0 = -1 + x2 + -1x2 3 + -2x = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + -2x = -1 + 0 3 + -2x = -1 Solving 3 + -2x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -1 + -3 -2x = -1 + -3 Combine like terms: -1 + -3 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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