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Simplifying f(x) = (2x + 1)(4x + 3) Multiply f * x fx = (2x + 1)(4x + 3) Reorder the terms: fx = (1 + 2x)(4x + 3) Reorder the terms: fx = (1 + 2x)(3 + 4x) Multiply (1 + 2x) * (3 + 4x) fx = (1(3 + 4x) + 2x * (3 + 4x)) fx = ((3 * 1 + 4x * 1) + 2x * (3 + 4x)) fx = ((3 + 4x) + 2x * (3 + 4x)) fx = (3 + 4x + (3 * 2x + 4x * 2x)) fx = (3 + 4x + (6x + 8x2)) Combine like terms: 4x + 6x = 10x fx = (3 + 10x + 8x2) Solving fx = 3 + 10x + 8x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 3x-1 + 10 + 8x Simplifying f = 3x-1 + 10 + 8x Reorder the terms: f = 10 + 3x-1 + 8x
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