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Simplifying 2 + -3x + 1 = 5x + -2 Reorder the terms: 2 + 1 + -3x = 5x + -2 Combine like terms: 2 + 1 = 3 3 + -3x = 5x + -2 Reorder the terms: 3 + -3x = -2 + 5x Solving 3 + -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. 3 + -3x + -5x = -2 + 5x + -5x Combine like terms: -3x + -5x = -8x 3 + -8x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -8x = -2 + 0 3 + -8x = -2 Add '-3' to each side of the equation. 3 + -3 + -8x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -2 + -3 -8x = -2 + -3 Combine like terms: -2 + -3 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625
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