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Simplifying f(x) = (x + 11)(x + 7) Multiply f * x fx = (x + 11)(x + 7) Reorder the terms: fx = (11 + x)(x + 7) Reorder the terms: fx = (11 + x)(7 + x) Multiply (11 + x) * (7 + x) fx = (11(7 + x) + x(7 + x)) fx = ((7 * 11 + x * 11) + x(7 + x)) fx = ((77 + 11x) + x(7 + x)) fx = (77 + 11x + (7 * x + x * x)) fx = (77 + 11x + (7x + x2)) Combine like terms: 11x + 7x = 18x fx = (77 + 18x + x2) Solving fx = 77 + 18x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 77x-1 + 18 + x Simplifying f = 77x-1 + 18 + x Reorder the terms: f = 18 + 77x-1 + x
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