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Simplifying 3(11x + 12) + -3x = -9(-4 + -12x) Reorder the terms: 3(12 + 11x) + -3x = -9(-4 + -12x) (12 * 3 + 11x * 3) + -3x = -9(-4 + -12x) (36 + 33x) + -3x = -9(-4 + -12x) Combine like terms: 33x + -3x = 30x 36 + 30x = -9(-4 + -12x) 36 + 30x = (-4 * -9 + -12x * -9) 36 + 30x = (36 + 108x) Add '-36' to each side of the equation. 36 + -36 + 30x = 36 + -36 + 108x Combine like terms: 36 + -36 = 0 0 + 30x = 36 + -36 + 108x 30x = 36 + -36 + 108x Combine like terms: 36 + -36 = 0 30x = 0 + 108x 30x = 108x Solving 30x = 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. 30x + -108x = 108x + -108x Combine like terms: 30x + -108x = -78x -78x = 108x + -108x Combine like terms: 108x + -108x = 0 -78x = 0 Divide each side by '-78'. x = 0 Simplifying x = 0
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