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