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Simplifying f(x) = (5x + -1)(2x + 7) Multiply f * x fx = (5x + -1)(2x + 7) Reorder the terms: fx = (-1 + 5x)(2x + 7) Reorder the terms: fx = (-1 + 5x)(7 + 2x) Multiply (-1 + 5x) * (7 + 2x) fx = (-1(7 + 2x) + 5x * (7 + 2x)) fx = ((7 * -1 + 2x * -1) + 5x * (7 + 2x)) fx = ((-7 + -2x) + 5x * (7 + 2x)) fx = (-7 + -2x + (7 * 5x + 2x * 5x)) fx = (-7 + -2x + (35x + 10x2)) Combine like terms: -2x + 35x = 33x fx = (-7 + 33x + 10x2) Solving fx = -7 + 33x + 10x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -7x-1 + 33 + 10x Simplifying f = -7x-1 + 33 + 10x Reorder the terms: f = 33 + -7x-1 + 10x
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