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