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Simplifying f(x) = (2x + -1)(x + 5) Multiply f * x fx = (2x + -1)(x + 5) Reorder the terms: fx = (-1 + 2x)(x + 5) Reorder the terms: fx = (-1 + 2x)(5 + x) Multiply (-1 + 2x) * (5 + x) fx = (-1(5 + x) + 2x * (5 + x)) fx = ((5 * -1 + x * -1) + 2x * (5 + x)) fx = ((-5 + -1x) + 2x * (5 + x)) fx = (-5 + -1x + (5 * 2x + x * 2x)) fx = (-5 + -1x + (10x + 2x2)) Combine like terms: -1x + 10x = 9x fx = (-5 + 9x + 2x2) Solving fx = -5 + 9x + 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 + 9 + 2x Simplifying f = -5x-1 + 9 + 2x Reorder the terms: f = 9 + -5x-1 + 2x
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