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