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Simplifying 468 = (x + 8 + 9)(x + 9) + -1(x + 8)(x) Reorder the terms: 468 = (8 + 9 + x)(x + 9) + -1(x + 8)(x) Combine like terms: 8 + 9 = 17 468 = (17 + x)(x + 9) + -1(x + 8)(x) Reorder the terms: 468 = (17 + x)(9 + x) + -1(x + 8)(x) Multiply (17 + x) * (9 + x) 468 = (17(9 + x) + x(9 + x)) + -1(x + 8)(x) 468 = ((9 * 17 + x * 17) + x(9 + x)) + -1(x + 8)(x) 468 = ((153 + 17x) + x(9 + x)) + -1(x + 8)(x) 468 = (153 + 17x + (9 * x + x * x)) + -1(x + 8)(x) 468 = (153 + 17x + (9x + x2)) + -1(x + 8)(x) Combine like terms: 17x + 9x = 26x 468 = (153 + 26x + x2) + -1(x + 8)(x) Reorder the terms: 468 = 153 + 26x + x2 + -1(8 + x)(x) Reorder the terms for easier multiplication: 468 = 153 + 26x + x2 + -1x(8 + x) 468 = 153 + 26x + x2 + (8 * -1x + x * -1x) 468 = 153 + 26x + x2 + (-8x + -1x2) Reorder the terms: 468 = 153 + 26x + -8x + x2 + -1x2 Combine like terms: 26x + -8x = 18x 468 = 153 + 18x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 468 = 153 + 18x + 0 468 = 153 + 18x Solving 468 = 153 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 468 + -18x = 153 + 18x + -18x Combine like terms: 18x + -18x = 0 468 + -18x = 153 + 0 468 + -18x = 153 Add '-468' to each side of the equation. 468 + -468 + -18x = 153 + -468 Combine like terms: 468 + -468 = 0 0 + -18x = 153 + -468 -18x = 153 + -468 Combine like terms: 153 + -468 = -315 -18x = -315 Divide each side by '-18'. x = 17.5 Simplifying x = 17.5
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