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