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