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Simplifying f(x) = (x + -3)(x + 4) Multiply f * x fx = (x + -3)(x + 4) Reorder the terms: fx = (-3 + x)(x + 4) Reorder the terms: fx = (-3 + x)(4 + x) Multiply (-3 + x) * (4 + x) fx = (-3(4 + x) + x(4 + x)) fx = ((4 * -3 + x * -3) + x(4 + x)) fx = ((-12 + -3x) + x(4 + x)) fx = (-12 + -3x + (4 * x + x * x)) fx = (-12 + -3x + (4x + x2)) Combine like terms: -3x + 4x = 1x fx = (-12 + 1x + x2) Solving fx = -12 + 1x + 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 = -12x-1 + 1 + x Simplifying f = -12x-1 + 1 + x Reorder the terms: f = 1 + -12x-1 + x
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