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