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Simplifying 3(4x + 2) = 5(2x + 4) Reorder the terms: 3(2 + 4x) = 5(2x + 4) (2 * 3 + 4x * 3) = 5(2x + 4) (6 + 12x) = 5(2x + 4) Reorder the terms: 6 + 12x = 5(4 + 2x) 6 + 12x = (4 * 5 + 2x * 5) 6 + 12x = (20 + 10x) Solving 6 + 12x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 12x + -10x = 20 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = 20 + 0 6 + 2x = 20 Add '-6' to each side of the equation. 6 + -6 + 2x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 20 + -6 2x = 20 + -6 Combine like terms: 20 + -6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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