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Simplifying g(x) = 8f(x + -4) + -4 Multiply g * x gx = 8f(x + -4) + -4 Reorder the terms: gx = 8f(-4 + x) + -4 gx = (-4 * 8f + x * 8f) + -4 gx = (-32f + 8fx) + -4 Reorder the terms: gx = -4 + -32f + 8fx Solving gx = -4 + -32f + 8fx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -4x-1 + -32fx-1 + 8f Simplifying g = -4x-1 + -32fx-1 + 8f Reorder the terms: g = 8f + -32fx-1 + -4x-1
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