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Simplifying f(x) = (8x + 4)(5x + 7) Multiply f * x fx = (8x + 4)(5x + 7) Reorder the terms: fx = (4 + 8x)(5x + 7) Reorder the terms: fx = (4 + 8x)(7 + 5x) Multiply (4 + 8x) * (7 + 5x) fx = (4(7 + 5x) + 8x * (7 + 5x)) fx = ((7 * 4 + 5x * 4) + 8x * (7 + 5x)) fx = ((28 + 20x) + 8x * (7 + 5x)) fx = (28 + 20x + (7 * 8x + 5x * 8x)) fx = (28 + 20x + (56x + 40x2)) Combine like terms: 20x + 56x = 76x fx = (28 + 76x + 40x2) Solving fx = 28 + 76x + 40x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 28x-1 + 76 + 40x Simplifying f = 28x-1 + 76 + 40x Reorder the terms: f = 76 + 28x-1 + 40x
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