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Simplifying 6[1 + -1(-9x + -5)] = 486x + 276 Reorder the terms: 6[1 + -1(-5 + -9x)] = 486x + 276 6[1 + (-5 * -1 + -9x * -1)] = 486x + 276 6[1 + (5 + 9x)] = 486x + 276 Combine like terms: 1 + 5 = 6 6[6 + 9x] = 486x + 276 [6 * 6 + 9x * 6] = 486x + 276 [36 + 54x] = 486x + 276 Reorder the terms: 36 + 54x = 276 + 486x Solving 36 + 54x = 276 + 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. 36 + 54x + -486x = 276 + 486x + -486x Combine like terms: 54x + -486x = -432x 36 + -432x = 276 + 486x + -486x Combine like terms: 486x + -486x = 0 36 + -432x = 276 + 0 36 + -432x = 276 Add '-36' to each side of the equation. 36 + -36 + -432x = 276 + -36 Combine like terms: 36 + -36 = 0 0 + -432x = 276 + -36 -432x = 276 + -36 Combine like terms: 276 + -36 = 240 -432x = 240 Divide each side by '-432'. x = -0.5555555556 Simplifying x = -0.5555555556
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