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Simplifying f(x) = (x + -5)(2x + -1) Multiply f * x fx = (x + -5)(2x + -1) Reorder the terms: fx = (-5 + x)(2x + -1) Reorder the terms: fx = (-5 + x)(-1 + 2x) Multiply (-5 + x) * (-1 + 2x) fx = (-5(-1 + 2x) + x(-1 + 2x)) fx = ((-1 * -5 + 2x * -5) + x(-1 + 2x)) fx = ((5 + -10x) + x(-1 + 2x)) fx = (5 + -10x + (-1 * x + 2x * x)) fx = (5 + -10x + (-1x + 2x2)) Combine like terms: -10x + -1x = -11x fx = (5 + -11x + 2x2) Solving fx = 5 + -11x + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 5x-1 + -11 + 2x Simplifying f = 5x-1 + -11 + 2x Reorder the terms: f = -11 + 5x-1 + 2x
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