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Simplifying 9x + 6(3x + 12) = 18(3x + -9) Reorder the terms: 9x + 6(12 + 3x) = 18(3x + -9) 9x + (12 * 6 + 3x * 6) = 18(3x + -9) 9x + (72 + 18x) = 18(3x + -9) Reorder the terms: 72 + 9x + 18x = 18(3x + -9) Combine like terms: 9x + 18x = 27x 72 + 27x = 18(3x + -9) Reorder the terms: 72 + 27x = 18(-9 + 3x) 72 + 27x = (-9 * 18 + 3x * 18) 72 + 27x = (-162 + 54x) Solving 72 + 27x = -162 + 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. 72 + 27x + -54x = -162 + 54x + -54x Combine like terms: 27x + -54x = -27x 72 + -27x = -162 + 54x + -54x Combine like terms: 54x + -54x = 0 72 + -27x = -162 + 0 72 + -27x = -162 Add '-72' to each side of the equation. 72 + -72 + -27x = -162 + -72 Combine like terms: 72 + -72 = 0 0 + -27x = -162 + -72 -27x = -162 + -72 Combine like terms: -162 + -72 = -234 -27x = -234 Divide each side by '-27'. x = 8.666666667 Simplifying x = 8.666666667
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