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Simplifying 3(x + 1) + 1 + 2x = 2(2x + 2) + 2 Reorder the terms: 3(1 + x) + 1 + 2x = 2(2x + 2) + 2 (1 * 3 + x * 3) + 1 + 2x = 2(2x + 2) + 2 (3 + 3x) + 1 + 2x = 2(2x + 2) + 2 Reorder the terms: 3 + 1 + 3x + 2x = 2(2x + 2) + 2 Combine like terms: 3 + 1 = 4 4 + 3x + 2x = 2(2x + 2) + 2 Combine like terms: 3x + 2x = 5x 4 + 5x = 2(2x + 2) + 2 Reorder the terms: 4 + 5x = 2(2 + 2x) + 2 4 + 5x = (2 * 2 + 2x * 2) + 2 4 + 5x = (4 + 4x) + 2 Reorder the terms: 4 + 5x = 4 + 2 + 4x Combine like terms: 4 + 2 = 6 4 + 5x = 6 + 4x Solving 4 + 5x = 6 + 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. 4 + 5x + -4x = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x 4 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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