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Simplifying f(x) = (5x + 11)(2x + 9) Multiply f * x fx = (5x + 11)(2x + 9) Reorder the terms: fx = (11 + 5x)(2x + 9) Reorder the terms: fx = (11 + 5x)(9 + 2x) Multiply (11 + 5x) * (9 + 2x) fx = (11(9 + 2x) + 5x * (9 + 2x)) fx = ((9 * 11 + 2x * 11) + 5x * (9 + 2x)) fx = ((99 + 22x) + 5x * (9 + 2x)) fx = (99 + 22x + (9 * 5x + 2x * 5x)) fx = (99 + 22x + (45x + 10x2)) Combine like terms: 22x + 45x = 67x fx = (99 + 67x + 10x2) Solving fx = 99 + 67x + 10x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 99x-1 + 67 + 10x Simplifying f = 99x-1 + 67 + 10x Reorder the terms: f = 67 + 99x-1 + 10x
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