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Simplifying 12(3x + -9) = (12x + 2) Reorder the terms: 12(-9 + 3x) = (12x + 2) (-9 * 12 + 3x * 12) = (12x + 2) (-108 + 36x) = (12x + 2) Reorder the terms: -108 + 36x = (2 + 12x) Remove parenthesis around (2 + 12x) -108 + 36x = 2 + 12x Solving -108 + 36x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -108 + 36x + -12x = 2 + 12x + -12x Combine like terms: 36x + -12x = 24x -108 + 24x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -108 + 24x = 2 + 0 -108 + 24x = 2 Add '108' to each side of the equation. -108 + 108 + 24x = 2 + 108 Combine like terms: -108 + 108 = 0 0 + 24x = 2 + 108 24x = 2 + 108 Combine like terms: 2 + 108 = 110 24x = 110 Divide each side by '24'. x = 4.583333333 Simplifying x = 4.583333333
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