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Simplifying g(x) = (x + -3)(16 + -4x) Multiply g * x gx = (x + -3)(16 + -4x) Reorder the terms: gx = (-3 + x)(16 + -4x) Multiply (-3 + x) * (16 + -4x) gx = (-3(16 + -4x) + x(16 + -4x)) gx = ((16 * -3 + -4x * -3) + x(16 + -4x)) gx = ((-48 + 12x) + x(16 + -4x)) gx = (-48 + 12x + (16 * x + -4x * x)) gx = (-48 + 12x + (16x + -4x2)) Combine like terms: 12x + 16x = 28x gx = (-48 + 28x + -4x2) Solving gx = -48 + 28x + -4x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -48x-1 + 28 + -4x Simplifying g = -48x-1 + 28 + -4x Reorder the terms: g = 28 + -48x-1 + -4x
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