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Simplifying x2 + -2x + 1 + -1k = 0 Reorder the terms: 1 + -1k + -2x + x2 = 0 Solving 1 + -1k + -2x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1k + -2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1k + -2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k + -2x + x2 = 0 + -1 -1k + -2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1k + -2x + x2 = -1 Add '2x' to each side of the equation. -1k + -2x + 2x + x2 = -1 + 2x Combine like terms: -2x + 2x = 0 -1k + 0 + x2 = -1 + 2x -1k + x2 = -1 + 2x Add '-1x2' to each side of the equation. -1k + x2 + -1x2 = -1 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + 0 = -1 + 2x + -1x2 -1k = -1 + 2x + -1x2 Divide each side by '-1'. k = 1 + -2x + x2 Simplifying k = 1 + -2x + x2
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