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Simplifying f(x) = (x + 1)(x + 5) Multiply f * x fx = (x + 1)(x + 5) Reorder the terms: fx = (1 + x)(x + 5) Reorder the terms: fx = (1 + x)(5 + x) Multiply (1 + x) * (5 + x) fx = (1(5 + x) + x(5 + x)) fx = ((5 * 1 + x * 1) + x(5 + x)) fx = ((5 + 1x) + x(5 + x)) fx = (5 + 1x + (5 * x + x * x)) fx = (5 + 1x + (5x + x2)) Combine like terms: 1x + 5x = 6x fx = (5 + 6x + x2) Solving fx = 5 + 6x + 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 = 5x-1 + 6 + x Simplifying f = 5x-1 + 6 + x Reorder the terms: f = 6 + 5x-1 + x
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