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Simplifying f(x) + xf(-1x) = x + 1 Multiply f * x fx + xf(-1x) = x + 1 Remove parenthesis around (-1x) fx + fx * -1x = x + 1 Reorder the terms for easier multiplication: fx + -1fx * x = x + 1 Multiply fx * x fx + -1fx2 = x + 1 Reorder the terms: fx + -1fx2 = 1 + x Solving fx + -1fx2 = 1 + x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -1 + fx + -1fx2 + -1x = 1 + x + -1 + -1x Reorder the terms: -1 + fx + -1fx2 + -1x = 1 + -1 + x + -1x Combine like terms: 1 + -1 = 0 -1 + fx + -1fx2 + -1x = 0 + x + -1x -1 + fx + -1fx2 + -1x = x + -1x Combine like terms: x + -1x = 0 -1 + fx + -1fx2 + -1x = 0 The solution to this equation could not be determined.
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