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Simplifying F(n) = 2xf(n + -1) + 1 Multiply F * n nF = 2xf(n + -1) + 1 Reorder the terms: nF = 2fx(-1 + n) + 1 nF = (-1 * 2fx + n * 2fx) + 1 Reorder the terms: nF = (2fnx + -2fx) + 1 nF = (2fnx + -2fx) + 1 Reorder the terms: nF = 1 + 2fnx + -2fx Solving nF = 1 + 2fnx + -2fx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2fnx' to each side of the equation. -2fnx + nF = 1 + 2fnx + -2fnx + -2fx Combine like terms: 2fnx + -2fnx = 0 -2fnx + nF = 1 + 0 + -2fx -2fnx + nF = 1 + -2fx Reorder the terms: -1 + -2fnx + 2fx + nF = 1 + -2fx + -1 + 2fx Reorder the terms: -1 + -2fnx + 2fx + nF = 1 + -1 + -2fx + 2fx Combine like terms: 1 + -1 = 0 -1 + -2fnx + 2fx + nF = 0 + -2fx + 2fx -1 + -2fnx + 2fx + nF = -2fx + 2fx Combine like terms: -2fx + 2fx = 0 -1 + -2fnx + 2fx + nF = 0 The solution to this equation could not be determined.
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