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Simplifying (x + -8)(x + -3) = (x + 1)(x + 9) Reorder the terms: (-8 + x)(x + -3) = (x + 1)(x + 9) Reorder the terms: (-8 + x)(-3 + x) = (x + 1)(x + 9) Multiply (-8 + x) * (-3 + x) (-8(-3 + x) + x(-3 + x)) = (x + 1)(x + 9) ((-3 * -8 + x * -8) + x(-3 + x)) = (x + 1)(x + 9) ((24 + -8x) + x(-3 + x)) = (x + 1)(x + 9) (24 + -8x + (-3 * x + x * x)) = (x + 1)(x + 9) (24 + -8x + (-3x + x2)) = (x + 1)(x + 9) Combine like terms: -8x + -3x = -11x (24 + -11x + x2) = (x + 1)(x + 9) Reorder the terms: 24 + -11x + x2 = (1 + x)(x + 9) Reorder the terms: 24 + -11x + x2 = (1 + x)(9 + x) Multiply (1 + x) * (9 + x) 24 + -11x + x2 = (1(9 + x) + x(9 + x)) 24 + -11x + x2 = ((9 * 1 + x * 1) + x(9 + x)) 24 + -11x + x2 = ((9 + 1x) + x(9 + x)) 24 + -11x + x2 = (9 + 1x + (9 * x + x * x)) 24 + -11x + x2 = (9 + 1x + (9x + x2)) Combine like terms: 1x + 9x = 10x 24 + -11x + x2 = (9 + 10x + x2) Add '-1x2' to each side of the equation. 24 + -11x + x2 + -1x2 = 9 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + -11x + 0 = 9 + 10x + x2 + -1x2 24 + -11x = 9 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + -11x = 9 + 10x + 0 24 + -11x = 9 + 10x Solving 24 + -11x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -11x + -10x = 9 + 10x + -10x Combine like terms: -11x + -10x = -21x 24 + -21x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -21x = 9 + 0 24 + -21x = 9 Add '-24' to each side of the equation. 24 + -24 + -21x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -21x = 9 + -24 -21x = 9 + -24 Combine like terms: 9 + -24 = -15 -21x = -15 Divide each side by '-21'. x = 0.7142857143 Simplifying x = 0.7142857143
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