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