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Simplifying f(x) = (x + -3)(x + 8) Multiply f * x fx = (x + -3)(x + 8) Reorder the terms: fx = (-3 + x)(x + 8) Reorder the terms: fx = (-3 + x)(8 + x) Multiply (-3 + x) * (8 + x) fx = (-3(8 + x) + x(8 + x)) fx = ((8 * -3 + x * -3) + x(8 + x)) fx = ((-24 + -3x) + x(8 + x)) fx = (-24 + -3x + (8 * x + x * x)) fx = (-24 + -3x + (8x + x2)) Combine like terms: -3x + 8x = 5x fx = (-24 + 5x + x2) Solving fx = -24 + 5x + 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 = -24x-1 + 5 + x Simplifying f = -24x-1 + 5 + x Reorder the terms: f = 5 + -24x-1 + x
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