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Simplifying f(x) = (12 + 0.5x)(36 + -2x) Multiply f * x fx = (12 + 0.5x)(36 + -2x) Multiply (12 + 0.5x) * (36 + -2x) fx = (12(36 + -2x) + 0.5x * (36 + -2x)) fx = ((36 * 12 + -2x * 12) + 0.5x * (36 + -2x)) fx = ((432 + -24x) + 0.5x * (36 + -2x)) fx = (432 + -24x + (36 * 0.5x + -2x * 0.5x)) fx = (432 + -24x + (18x + -1x2)) Combine like terms: -24x + 18x = -6x fx = (432 + -6x + -1x2) Solving fx = 432 + -6x + -1x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 432x-1 + -6 + -1x Simplifying f = 432x-1 + -6 + -1x Reorder the terms: f = -6 + 432x-1 + -1x
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