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Simplifying 3(2 + 4x) = 3(4 + -1x) (2 * 3 + 4x * 3) = 3(4 + -1x) (6 + 12x) = 3(4 + -1x) 6 + 12x = (4 * 3 + -1x * 3) 6 + 12x = (12 + -3x) Solving 6 + 12x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 12x + 3x = 12 + -3x + 3x Combine like terms: 12x + 3x = 15x 6 + 15x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 15x = 12 + 0 6 + 15x = 12 Add '-6' to each side of the equation. 6 + -6 + 15x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 12 + -6 15x = 12 + -6 Combine like terms: 12 + -6 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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