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Simplifying 9[8 + -1(-3x + -8)] = 54x + 216 Reorder the terms: 9[8 + -1(-8 + -3x)] = 54x + 216 9[8 + (-8 * -1 + -3x * -1)] = 54x + 216 9[8 + (8 + 3x)] = 54x + 216 Combine like terms: 8 + 8 = 16 9[16 + 3x] = 54x + 216 [16 * 9 + 3x * 9] = 54x + 216 [144 + 27x] = 54x + 216 Reorder the terms: 144 + 27x = 216 + 54x Solving 144 + 27x = 216 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 144 + 27x + -54x = 216 + 54x + -54x Combine like terms: 27x + -54x = -27x 144 + -27x = 216 + 54x + -54x Combine like terms: 54x + -54x = 0 144 + -27x = 216 + 0 144 + -27x = 216 Add '-144' to each side of the equation. 144 + -144 + -27x = 216 + -144 Combine like terms: 144 + -144 = 0 0 + -27x = 216 + -144 -27x = 216 + -144 Combine like terms: 216 + -144 = 72 -27x = 72 Divide each side by '-27'. x = -2.666666667 Simplifying x = -2.666666667
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