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Simplifying 3x + 2(2x + 1) = 4(3 + x) Reorder the terms: 3x + 2(1 + 2x) = 4(3 + x) 3x + (1 * 2 + 2x * 2) = 4(3 + x) 3x + (2 + 4x) = 4(3 + x) Reorder the terms: 2 + 3x + 4x = 4(3 + x) Combine like terms: 3x + 4x = 7x 2 + 7x = 4(3 + x) 2 + 7x = (3 * 4 + x * 4) 2 + 7x = (12 + 4x) Solving 2 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x 2 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 3x = 12 + 0 2 + 3x = 12 Add '-2' to each side of the equation. 2 + -2 + 3x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 12 + -2 3x = 12 + -2 Combine like terms: 12 + -2 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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