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Simplifying 6[7 + -1(-9x + -8)] = 216x + 234 Reorder the terms: 6[7 + -1(-8 + -9x)] = 216x + 234 6[7 + (-8 * -1 + -9x * -1)] = 216x + 234 6[7 + (8 + 9x)] = 216x + 234 Combine like terms: 7 + 8 = 15 6[15 + 9x] = 216x + 234 [15 * 6 + 9x * 6] = 216x + 234 [90 + 54x] = 216x + 234 Reorder the terms: 90 + 54x = 234 + 216x Solving 90 + 54x = 234 + 216x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216x' to each side of the equation. 90 + 54x + -216x = 234 + 216x + -216x Combine like terms: 54x + -216x = -162x 90 + -162x = 234 + 216x + -216x Combine like terms: 216x + -216x = 0 90 + -162x = 234 + 0 90 + -162x = 234 Add '-90' to each side of the equation. 90 + -90 + -162x = 234 + -90 Combine like terms: 90 + -90 = 0 0 + -162x = 234 + -90 -162x = 234 + -90 Combine like terms: 234 + -90 = 144 -162x = 144 Divide each side by '-162'. x = -0.8888888889 Simplifying x = -0.8888888889
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