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