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Simplifying 9[3 + -1(-9x + -8)] = 486x + 459 Reorder the terms: 9[3 + -1(-8 + -9x)] = 486x + 459 9[3 + (-8 * -1 + -9x * -1)] = 486x + 459 9[3 + (8 + 9x)] = 486x + 459 Combine like terms: 3 + 8 = 11 9[11 + 9x] = 486x + 459 [11 * 9 + 9x * 9] = 486x + 459 [99 + 81x] = 486x + 459 Reorder the terms: 99 + 81x = 459 + 486x Solving 99 + 81x = 459 + 486x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-486x' to each side of the equation. 99 + 81x + -486x = 459 + 486x + -486x Combine like terms: 81x + -486x = -405x 99 + -405x = 459 + 486x + -486x Combine like terms: 486x + -486x = 0 99 + -405x = 459 + 0 99 + -405x = 459 Add '-99' to each side of the equation. 99 + -99 + -405x = 459 + -99 Combine like terms: 99 + -99 = 0 0 + -405x = 459 + -99 -405x = 459 + -99 Combine like terms: 459 + -99 = 360 -405x = 360 Divide each side by '-405'. x = -0.8888888889 Simplifying x = -0.8888888889
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