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Simplifying f(x) = (6 + 4x)(2x + -8) Multiply f * x fx = (6 + 4x)(2x + -8) Reorder the terms: fx = (6 + 4x)(-8 + 2x) Multiply (6 + 4x) * (-8 + 2x) fx = (6(-8 + 2x) + 4x * (-8 + 2x)) fx = ((-8 * 6 + 2x * 6) + 4x * (-8 + 2x)) fx = ((-48 + 12x) + 4x * (-8 + 2x)) fx = (-48 + 12x + (-8 * 4x + 2x * 4x)) fx = (-48 + 12x + (-32x + 8x2)) Combine like terms: 12x + -32x = -20x fx = (-48 + -20x + 8x2) Solving fx = -48 + -20x + 8x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -48x-1 + -20 + 8x Simplifying f = -48x-1 + -20 + 8x Reorder the terms: f = -20 + -48x-1 + 8x
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