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Simplifying f(x) = (x + 6)(5x + -1) Multiply f * x fx = (x + 6)(5x + -1) Reorder the terms: fx = (6 + x)(5x + -1) Reorder the terms: fx = (6 + x)(-1 + 5x) Multiply (6 + x) * (-1 + 5x) fx = (6(-1 + 5x) + x(-1 + 5x)) fx = ((-1 * 6 + 5x * 6) + x(-1 + 5x)) fx = ((-6 + 30x) + x(-1 + 5x)) fx = (-6 + 30x + (-1 * x + 5x * x)) fx = (-6 + 30x + (-1x + 5x2)) Combine like terms: 30x + -1x = 29x fx = (-6 + 29x + 5x2) Solving fx = -6 + 29x + 5x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -6x-1 + 29 + 5x Simplifying f = -6x-1 + 29 + 5x Reorder the terms: f = 29 + -6x-1 + 5x
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