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