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Simplifying 9(8 + -11x) + 3x = 12(9x + 6) (8 * 9 + -11x * 9) + 3x = 12(9x + 6) (72 + -99x) + 3x = 12(9x + 6) Combine like terms: -99x + 3x = -96x 72 + -96x = 12(9x + 6) Reorder the terms: 72 + -96x = 12(6 + 9x) 72 + -96x = (6 * 12 + 9x * 12) 72 + -96x = (72 + 108x) Add '-72' to each side of the equation. 72 + -72 + -96x = 72 + -72 + 108x Combine like terms: 72 + -72 = 0 0 + -96x = 72 + -72 + 108x -96x = 72 + -72 + 108x Combine like terms: 72 + -72 = 0 -96x = 0 + 108x -96x = 108x Solving -96x = 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. -96x + -108x = 108x + -108x Combine like terms: -96x + -108x = -204x -204x = 108x + -108x Combine like terms: 108x + -108x = 0 -204x = 0 Divide each side by '-204'. x = 0 Simplifying x = 0
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