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Simplifying g(x) = 2f(x + 8) + -5 Multiply g * x gx = 2f(x + 8) + -5 Reorder the terms: gx = 2f(8 + x) + -5 gx = (8 * 2f + x * 2f) + -5 gx = (16f + 2fx) + -5 Reorder the terms: gx = -5 + 16f + 2fx Solving gx = -5 + 16f + 2fx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -5x-1 + 16fx-1 + 2f Simplifying g = -5x-1 + 16fx-1 + 2f Reorder the terms: g = 2f + 16fx-1 + -5x-1
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