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Simplifying 2(4x + 3) = 3(2x + 4) Reorder the terms: 2(3 + 4x) = 3(2x + 4) (3 * 2 + 4x * 2) = 3(2x + 4) (6 + 8x) = 3(2x + 4) Reorder the terms: 6 + 8x = 3(4 + 2x) 6 + 8x = (4 * 3 + 2x * 3) 6 + 8x = (12 + 6x) Solving 6 + 8x = 12 + 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 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x 6 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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