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Simplifying (k + -1) * x = k + 1 Reorder the terms: (-1 + k) * x = k + 1 Reorder the terms for easier multiplication: x(-1 + k) = k + 1 (-1 * x + k * x) = k + 1 Reorder the terms: (kx + -1x) = k + 1 (kx + -1x) = k + 1 Reorder the terms: kx + -1x = 1 + k Solving kx + -1x = 1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. kx + -1k + -1x = 1 + k + -1k Reorder the terms: -1k + kx + -1x = 1 + k + -1k Combine like terms: k + -1k = 0 -1k + kx + -1x = 1 + 0 -1k + kx + -1x = 1 Add 'x' to each side of the equation. -1k + kx + -1x + x = 1 + x Combine like terms: -1x + x = 0 -1k + kx + 0 = 1 + x -1k + kx = 1 + x Reorder the terms: -1 + -1k + kx + -1x = 1 + x + -1 + -1x Reorder the terms: -1 + -1k + kx + -1x = 1 + -1 + x + -1x Combine like terms: 1 + -1 = 0 -1 + -1k + kx + -1x = 0 + x + -1x -1 + -1k + kx + -1x = x + -1x Combine like terms: x + -1x = 0 -1 + -1k + kx + -1x = 0 The solution to this equation could not be determined.
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