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Simplifying f(x) = (3x + 7)(4x + 1) Multiply f * x fx = (3x + 7)(4x + 1) Reorder the terms: fx = (7 + 3x)(4x + 1) Reorder the terms: fx = (7 + 3x)(1 + 4x) Multiply (7 + 3x) * (1 + 4x) fx = (7(1 + 4x) + 3x * (1 + 4x)) fx = ((1 * 7 + 4x * 7) + 3x * (1 + 4x)) fx = ((7 + 28x) + 3x * (1 + 4x)) fx = (7 + 28x + (1 * 3x + 4x * 3x)) fx = (7 + 28x + (3x + 12x2)) Combine like terms: 28x + 3x = 31x fx = (7 + 31x + 12x2) Solving fx = 7 + 31x + 12x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 7x-1 + 31 + 12x Simplifying f = 7x-1 + 31 + 12x Reorder the terms: f = 31 + 7x-1 + 12x
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