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Simplifying f(x) = (X + 5)(x + 6) Multiply f * x fx = (X + 5)(x + 6) Reorder the terms: fx = (5 + X)(x + 6) Reorder the terms: fx = (5 + X)(6 + x) Multiply (5 + X) * (6 + x) fx = (5(6 + x) + X(6 + x)) fx = ((6 * 5 + x * 5) + X(6 + x)) fx = ((30 + 5x) + X(6 + x)) fx = (30 + 5x + (6 * X + x * X)) fx = (30 + 5x + (6X + xX)) Reorder the terms: fx = (30 + 6X + 5x + xX) fx = (30 + 6X + 5x + xX) Solving fx = 30 + 6X + 5x + xX Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 30x-1 + 6x-1X + 5 + X Simplifying f = 30x-1 + 6x-1X + 5 + X Reorder the terms: f = 5 + X + 30x-1 + 6x-1X
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