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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 = 12x 12x = -108x + 108x Combine like terms: -108x + 108x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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