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Simplifying (x + -2)(2x + -5) + -1(2x2 + -8x + 11) = 0 Reorder the terms: (-2 + x)(2x + -5) + -1(2x2 + -8x + 11) = 0 Reorder the terms: (-2 + x)(-5 + 2x) + -1(2x2 + -8x + 11) = 0 Multiply (-2 + x) * (-5 + 2x) (-2(-5 + 2x) + x(-5 + 2x)) + -1(2x2 + -8x + 11) = 0 ((-5 * -2 + 2x * -2) + x(-5 + 2x)) + -1(2x2 + -8x + 11) = 0 ((10 + -4x) + x(-5 + 2x)) + -1(2x2 + -8x + 11) = 0 (10 + -4x + (-5 * x + 2x * x)) + -1(2x2 + -8x + 11) = 0 (10 + -4x + (-5x + 2x2)) + -1(2x2 + -8x + 11) = 0 Combine like terms: -4x + -5x = -9x (10 + -9x + 2x2) + -1(2x2 + -8x + 11) = 0 Reorder the terms: 10 + -9x + 2x2 + -1(11 + -8x + 2x2) = 0 10 + -9x + 2x2 + (11 * -1 + -8x * -1 + 2x2 * -1) = 0 10 + -9x + 2x2 + (-11 + 8x + -2x2) = 0 Reorder the terms: 10 + -11 + -9x + 8x + 2x2 + -2x2 = 0 Combine like terms: 10 + -11 = -1 -1 + -9x + 8x + 2x2 + -2x2 = 0 Combine like terms: -9x + 8x = -1x -1 + -1x + 2x2 + -2x2 = 0 Combine like terms: 2x2 + -2x2 = 0 -1 + -1x + 0 = 0 -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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