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Simplifying (x + 1)(x + -2) + -1x2 = 9 Reorder the terms: (1 + x)(x + -2) + -1x2 = 9 Reorder the terms: (1 + x)(-2 + x) + -1x2 = 9 Multiply (1 + x) * (-2 + x) (1(-2 + x) + x(-2 + x)) + -1x2 = 9 ((-2 * 1 + x * 1) + x(-2 + x)) + -1x2 = 9 ((-2 + 1x) + x(-2 + x)) + -1x2 = 9 (-2 + 1x + (-2 * x + x * x)) + -1x2 = 9 (-2 + 1x + (-2x + x2)) + -1x2 = 9 Combine like terms: 1x + -2x = -1x (-2 + -1x + x2) + -1x2 = 9 Combine like terms: x2 + -1x2 = 0 -2 + -1x + 0 = 9 -2 + -1x = 9 Solving -2 + -1x = 9 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 = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 9 + 2 -1x = 9 + 2 Combine like terms: 9 + 2 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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