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Simplifying (x + 1)(x + 8) = (x + 2)(x + 3) Reorder the terms: (1 + x)(x + 8) = (x + 2)(x + 3) Reorder the terms: (1 + x)(8 + x) = (x + 2)(x + 3) Multiply (1 + x) * (8 + x) (1(8 + x) + x(8 + x)) = (x + 2)(x + 3) ((8 * 1 + x * 1) + x(8 + x)) = (x + 2)(x + 3) ((8 + 1x) + x(8 + x)) = (x + 2)(x + 3) (8 + 1x + (8 * x + x * x)) = (x + 2)(x + 3) (8 + 1x + (8x + x2)) = (x + 2)(x + 3) Combine like terms: 1x + 8x = 9x (8 + 9x + x2) = (x + 2)(x + 3) Reorder the terms: 8 + 9x + x2 = (2 + x)(x + 3) Reorder the terms: 8 + 9x + x2 = (2 + x)(3 + x) Multiply (2 + x) * (3 + x) 8 + 9x + x2 = (2(3 + x) + x(3 + x)) 8 + 9x + x2 = ((3 * 2 + x * 2) + x(3 + x)) 8 + 9x + x2 = ((6 + 2x) + x(3 + x)) 8 + 9x + x2 = (6 + 2x + (3 * x + x * x)) 8 + 9x + x2 = (6 + 2x + (3x + x2)) Combine like terms: 2x + 3x = 5x 8 + 9x + x2 = (6 + 5x + x2) Add '-1x2' to each side of the equation. 8 + 9x + x2 + -1x2 = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 9x + 0 = 6 + 5x + x2 + -1x2 8 + 9x = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 9x = 6 + 5x + 0 8 + 9x = 6 + 5x Solving 8 + 9x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 9x + -5x = 6 + 5x + -5x Combine like terms: 9x + -5x = 4x 8 + 4x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 4x = 6 + 0 8 + 4x = 6 Add '-8' to each side of the equation. 8 + -8 + 4x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 6 + -8 4x = 6 + -8 Combine like terms: 6 + -8 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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