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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 = -11x fx = (24 + -11x + x2) Solving fx = 24 + -11x + 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 + -11 + x Simplifying f = 24x-1 + -11 + x Reorder the terms: f = -11 + 24x-1 + x
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