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Simplifying g(x) = f(x + -1) + 2 Multiply g * x gx = f(x + -1) + 2 Reorder the terms: gx = f(-1 + x) + 2 gx = (-1 * f + x * f) + 2 gx = (-1f + fx) + 2 Reorder the terms: gx = 2 + -1f + fx Solving gx = 2 + -1f + fx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 2x-1 + -1fx-1 + f Simplifying g = 2x-1 + -1fx-1 + f Reorder the terms: g = f + -1fx-1 + 2x-1
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