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Simplifying 2x + -5 + 3x + 1 = 3x + -2 Reorder the terms: -5 + 1 + 2x + 3x = 3x + -2 Combine like terms: -5 + 1 = -4 -4 + 2x + 3x = 3x + -2 Combine like terms: 2x + 3x = 5x -4 + 5x = 3x + -2 Reorder the terms: -4 + 5x = -2 + 3x Solving -4 + 5x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = -2 + 0 -4 + 2x = -2 Add '4' to each side of the equation. -4 + 4 + 2x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -2 + 4 2x = -2 + 4 Combine like terms: -2 + 4 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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