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