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Simplifying f(x) = (8x + -5)(x + 3) Multiply f * x fx = (8x + -5)(x + 3) Reorder the terms: fx = (-5 + 8x)(x + 3) Reorder the terms: fx = (-5 + 8x)(3 + x) Multiply (-5 + 8x) * (3 + x) fx = (-5(3 + x) + 8x * (3 + x)) fx = ((3 * -5 + x * -5) + 8x * (3 + x)) fx = ((-15 + -5x) + 8x * (3 + x)) fx = (-15 + -5x + (3 * 8x + x * 8x)) fx = (-15 + -5x + (24x + 8x2)) Combine like terms: -5x + 24x = 19x fx = (-15 + 19x + 8x2) Solving fx = -15 + 19x + 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 = -15x-1 + 19 + 8x Simplifying f = -15x-1 + 19 + 8x Reorder the terms: f = 19 + -15x-1 + 8x
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