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Simplifying 9[4 + 5(4 + -1x) + 2x] = 12 + -2x 9[4 + (4 * 5 + -1x * 5) + 2x] = 12 + -2x 9[4 + (20 + -5x) + 2x] = 12 + -2x Combine like terms: 4 + 20 = 24 9[24 + -5x + 2x] = 12 + -2x Combine like terms: -5x + 2x = -3x 9[24 + -3x] = 12 + -2x [24 * 9 + -3x * 9] = 12 + -2x [216 + -27x] = 12 + -2x Solving 216 + -27x = 12 + -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. 216 + -27x + 2x = 12 + -2x + 2x Combine like terms: -27x + 2x = -25x 216 + -25x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 216 + -25x = 12 + 0 216 + -25x = 12 Add '-216' to each side of the equation. 216 + -216 + -25x = 12 + -216 Combine like terms: 216 + -216 = 0 0 + -25x = 12 + -216 -25x = 12 + -216 Combine like terms: 12 + -216 = -204 -25x = -204 Divide each side by '-25'. x = 8.16 Simplifying x = 8.16
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