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Simplifying (x + -5)(x + -6) = (x + -8) * x Reorder the terms: (-5 + x)(x + -6) = (x + -8) * x Reorder the terms: (-5 + x)(-6 + x) = (x + -8) * x Multiply (-5 + x) * (-6 + x) (-5(-6 + x) + x(-6 + x)) = (x + -8) * x ((-6 * -5 + x * -5) + x(-6 + x)) = (x + -8) * x ((30 + -5x) + x(-6 + x)) = (x + -8) * x (30 + -5x + (-6 * x + x * x)) = (x + -8) * x (30 + -5x + (-6x + x2)) = (x + -8) * x Combine like terms: -5x + -6x = -11x (30 + -11x + x2) = (x + -8) * x Reorder the terms: 30 + -11x + x2 = (-8 + x) * x Reorder the terms for easier multiplication: 30 + -11x + x2 = x(-8 + x) 30 + -11x + x2 = (-8 * x + x * x) 30 + -11x + x2 = (-8x + x2) Add '-1x2' to each side of the equation. 30 + -11x + x2 + -1x2 = -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -11x + 0 = -8x + x2 + -1x2 30 + -11x = -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -11x = -8x + 0 30 + -11x = -8x Solving 30 + -11x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + -11x + 8x = -8x + 8x Combine like terms: -11x + 8x = -3x 30 + -3x = -8x + 8x Combine like terms: -8x + 8x = 0 30 + -3x = 0 Add '-30' to each side of the equation. 30 + -30 + -3x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 0 + -30 -3x = 0 + -30 Combine like terms: 0 + -30 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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