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Simplifying (3x + 1) + -2 = 5x + -2 Reorder the terms: (1 + 3x) + -2 = 5x + -2 Remove parenthesis around (1 + 3x) 1 + 3x + -2 = 5x + -2 Reorder the terms: 1 + -2 + 3x = 5x + -2 Combine like terms: 1 + -2 = -1 -1 + 3x = 5x + -2 Reorder the terms: -1 + 3x = -2 + 5x Solving -1 + 3x = -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. -1 + 3x + -5x = -2 + 5x + -5x Combine like terms: 3x + -5x = -2x -1 + -2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2x = -2 + 0 -1 + -2x = -2 Add '1' to each side of the equation. -1 + 1 + -2x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -2 + 1 -2x = -2 + 1 Combine like terms: -2 + 1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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