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Simplifying 2(x + 1) + x = 3x + 2x Reorder the terms: 2(1 + x) + x = 3x + 2x (1 * 2 + x * 2) + x = 3x + 2x (2 + 2x) + x = 3x + 2x Combine like terms: 2x + x = 3x 2 + 3x = 3x + 2x Combine like terms: 3x + 2x = 5x 2 + 3x = 5x Solving 2 + 3x = 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. 2 + 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 0 Add '-2' to each side of the equation. 2 + -2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 0 + -2 -2x = 0 + -2 Combine like terms: 0 + -2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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