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Simplifying f(x) = (4 + -2x)(5 + -1x) Multiply f * x fx = (4 + -2x)(5 + -1x) Multiply (4 + -2x) * (5 + -1x) fx = (4(5 + -1x) + -2x * (5 + -1x)) fx = ((5 * 4 + -1x * 4) + -2x * (5 + -1x)) fx = ((20 + -4x) + -2x * (5 + -1x)) fx = (20 + -4x + (5 * -2x + -1x * -2x)) fx = (20 + -4x + (-10x + 2x2)) Combine like terms: -4x + -10x = -14x fx = (20 + -14x + 2x2) Solving fx = 20 + -14x + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 20x-1 + -14 + 2x Simplifying f = 20x-1 + -14 + 2x Reorder the terms: f = -14 + 20x-1 + 2x
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