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Simplifying x2 + -1kx + -1k + 1 = -7 Reorder the terms: 1 + -1k + -1kx + x2 = -7 Solving 1 + -1k + -1kx + x2 = -7 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 + -1kx + -1 + x2 = -7 + -1 Reorder the terms: 1 + -1 + -1k + -1kx + x2 = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1k + -1kx + x2 = -7 + -1 -1k + -1kx + x2 = -7 + -1 Combine like terms: -7 + -1 = -8 -1k + -1kx + x2 = -8 Add '-1x2' to each side of the equation. -1k + -1kx + x2 + -1x2 = -8 + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + -1kx + 0 = -8 + -1x2 -1k + -1kx = -8 + -1x2 Reorder the terms: 8 + -1k + -1kx + x2 = -8 + -1x2 + 8 + x2 Reorder the terms: 8 + -1k + -1kx + x2 = -8 + 8 + -1x2 + x2 Combine like terms: -8 + 8 = 0 8 + -1k + -1kx + x2 = 0 + -1x2 + x2 8 + -1k + -1kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8 + -1k + -1kx + x2 = 0 The solution to this equation could not be determined.
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