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Simplifying 9[8 + 5(8 + -1x) + 2x] = 24 + -2x 9[8 + (8 * 5 + -1x * 5) + 2x] = 24 + -2x 9[8 + (40 + -5x) + 2x] = 24 + -2x Combine like terms: 8 + 40 = 48 9[48 + -5x + 2x] = 24 + -2x Combine like terms: -5x + 2x = -3x 9[48 + -3x] = 24 + -2x [48 * 9 + -3x * 9] = 24 + -2x [432 + -27x] = 24 + -2x Solving 432 + -27x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 432 + -27x + 2x = 24 + -2x + 2x Combine like terms: -27x + 2x = -25x 432 + -25x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 432 + -25x = 24 + 0 432 + -25x = 24 Add '-432' to each side of the equation. 432 + -432 + -25x = 24 + -432 Combine like terms: 432 + -432 = 0 0 + -25x = 24 + -432 -25x = 24 + -432 Combine like terms: 24 + -432 = -408 -25x = -408 Divide each side by '-25'. x = 16.32 Simplifying x = 16.32
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