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Simplifying 3(4x + 2) = 2(3x + 4) Reorder the terms: 3(2 + 4x) = 2(3x + 4) (2 * 3 + 4x * 3) = 2(3x + 4) (6 + 12x) = 2(3x + 4) Reorder the terms: 6 + 12x = 2(4 + 3x) 6 + 12x = (4 * 2 + 3x * 2) 6 + 12x = (8 + 6x) Solving 6 + 12x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 12x + -6x = 8 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = 8 + 0 6 + 6x = 8 Add '-6' to each side of the equation. 6 + -6 + 6x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 8 + -6 6x = 8 + -6 Combine like terms: 8 + -6 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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