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Simplifying f(x + -1) = x2 + kx + -11 Reorder the terms: f(-1 + x) = x2 + kx + -11 (-1 * f + x * f) = x2 + kx + -11 (-1f + fx) = x2 + kx + -11 Reorder the terms: -1f + fx = -11 + kx + x2 Solving -1f + fx = -11 + kx + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: 11 + -1f + fx + -1kx + -1x2 = -11 + kx + x2 + 11 + -1kx + -1x2 Reorder the terms: 11 + -1f + fx + -1kx + -1x2 = -11 + 11 + kx + -1kx + x2 + -1x2 Combine like terms: -11 + 11 = 0 11 + -1f + fx + -1kx + -1x2 = 0 + kx + -1kx + x2 + -1x2 11 + -1f + fx + -1kx + -1x2 = kx + -1kx + x2 + -1x2 Combine like terms: kx + -1kx = 0 11 + -1f + fx + -1kx + -1x2 = 0 + x2 + -1x2 11 + -1f + fx + -1kx + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 11 + -1f + fx + -1kx + -1x2 = 0 The solution to this equation could not be determined.
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