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Simplifying f(x) = (x + 7)(x + 2) Multiply f * x fx = (x + 7)(x + 2) Reorder the terms: fx = (7 + x)(x + 2) Reorder the terms: fx = (7 + x)(2 + x) Multiply (7 + x) * (2 + x) fx = (7(2 + x) + x(2 + x)) fx = ((2 * 7 + x * 7) + x(2 + x)) fx = ((14 + 7x) + x(2 + x)) fx = (14 + 7x + (2 * x + x * x)) fx = (14 + 7x + (2x + x2)) Combine like terms: 7x + 2x = 9x fx = (14 + 9x + x2) Solving fx = 14 + 9x + 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 = 14x-1 + 9 + x Simplifying f = 14x-1 + 9 + x Reorder the terms: f = 9 + 14x-1 + x
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