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Simplifying 3(12x + 4) = 2(x + 9) Reorder the terms: 3(4 + 12x) = 2(x + 9) (4 * 3 + 12x * 3) = 2(x + 9) (12 + 36x) = 2(x + 9) Reorder the terms: 12 + 36x = 2(9 + x) 12 + 36x = (9 * 2 + x * 2) 12 + 36x = (18 + 2x) Solving 12 + 36x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 36x + -2x = 18 + 2x + -2x Combine like terms: 36x + -2x = 34x 12 + 34x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 34x = 18 + 0 12 + 34x = 18 Add '-12' to each side of the equation. 12 + -12 + 34x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 34x = 18 + -12 34x = 18 + -12 Combine like terms: 18 + -12 = 6 34x = 6 Divide each side by '34'. x = 0.1764705882 Simplifying x = 0.1764705882
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