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