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Simplifying (x + -2)(x + -9) = (x + 9)(x + 7) Reorder the terms: (-2 + x)(x + -9) = (x + 9)(x + 7) Reorder the terms: (-2 + x)(-9 + x) = (x + 9)(x + 7) Multiply (-2 + x) * (-9 + x) (-2(-9 + x) + x(-9 + x)) = (x + 9)(x + 7) ((-9 * -2 + x * -2) + x(-9 + x)) = (x + 9)(x + 7) ((18 + -2x) + x(-9 + x)) = (x + 9)(x + 7) (18 + -2x + (-9 * x + x * x)) = (x + 9)(x + 7) (18 + -2x + (-9x + x2)) = (x + 9)(x + 7) Combine like terms: -2x + -9x = -11x (18 + -11x + x2) = (x + 9)(x + 7) Reorder the terms: 18 + -11x + x2 = (9 + x)(x + 7) Reorder the terms: 18 + -11x + x2 = (9 + x)(7 + x) Multiply (9 + x) * (7 + x) 18 + -11x + x2 = (9(7 + x) + x(7 + x)) 18 + -11x + x2 = ((7 * 9 + x * 9) + x(7 + x)) 18 + -11x + x2 = ((63 + 9x) + x(7 + x)) 18 + -11x + x2 = (63 + 9x + (7 * x + x * x)) 18 + -11x + x2 = (63 + 9x + (7x + x2)) Combine like terms: 9x + 7x = 16x 18 + -11x + x2 = (63 + 16x + x2) Add '-1x2' to each side of the equation. 18 + -11x + x2 + -1x2 = 63 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -11x + 0 = 63 + 16x + x2 + -1x2 18 + -11x = 63 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -11x = 63 + 16x + 0 18 + -11x = 63 + 16x Solving 18 + -11x = 63 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 18 + -11x + -16x = 63 + 16x + -16x Combine like terms: -11x + -16x = -27x 18 + -27x = 63 + 16x + -16x Combine like terms: 16x + -16x = 0 18 + -27x = 63 + 0 18 + -27x = 63 Add '-18' to each side of the equation. 18 + -18 + -27x = 63 + -18 Combine like terms: 18 + -18 = 0 0 + -27x = 63 + -18 -27x = 63 + -18 Combine like terms: 63 + -18 = 45 -27x = 45 Divide each side by '-27'. x = -1.666666667 Simplifying x = -1.666666667
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