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