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Simplifying 9[1 + -1(-6x + -2)] = 486x + 171 Reorder the terms: 9[1 + -1(-2 + -6x)] = 486x + 171 9[1 + (-2 * -1 + -6x * -1)] = 486x + 171 9[1 + (2 + 6x)] = 486x + 171 Combine like terms: 1 + 2 = 3 9[3 + 6x] = 486x + 171 [3 * 9 + 6x * 9] = 486x + 171 [27 + 54x] = 486x + 171 Reorder the terms: 27 + 54x = 171 + 486x Solving 27 + 54x = 171 + 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. 27 + 54x + -486x = 171 + 486x + -486x Combine like terms: 54x + -486x = -432x 27 + -432x = 171 + 486x + -486x Combine like terms: 486x + -486x = 0 27 + -432x = 171 + 0 27 + -432x = 171 Add '-27' to each side of the equation. 27 + -27 + -432x = 171 + -27 Combine like terms: 27 + -27 = 0 0 + -432x = 171 + -27 -432x = 171 + -27 Combine like terms: 171 + -27 = 144 -432x = 144 Divide each side by '-432'. x = -0.3333333333 Simplifying x = -0.3333333333
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