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Simplifying 3(4x + 2) = 1(2x + 9) Reorder the terms: 3(2 + 4x) = 1(2x + 9) (2 * 3 + 4x * 3) = 1(2x + 9) (6 + 12x) = 1(2x + 9) Reorder the terms: 6 + 12x = 1(9 + 2x) 6 + 12x = (9 * 1 + 2x * 1) 6 + 12x = (9 + 2x) Solving 6 + 12x = 9 + 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. 6 + 12x + -2x = 9 + 2x + -2x Combine like terms: 12x + -2x = 10x 6 + 10x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 10x = 9 + 0 6 + 10x = 9 Add '-6' to each side of the equation. 6 + -6 + 10x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 9 + -6 10x = 9 + -6 Combine like terms: 9 + -6 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3
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