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