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Simplifying f(x) = -1(x + 1)(x + -7) Multiply f * x fx = -1(x + 1)(x + -7) Reorder the terms: fx = -1(1 + x)(x + -7) Reorder the terms: fx = -1(1 + x)(-7 + x) Multiply (1 + x) * (-7 + x) fx = -1(1(-7 + x) + x(-7 + x)) fx = -1((-7 * 1 + x * 1) + x(-7 + x)) fx = -1((-7 + 1x) + x(-7 + x)) fx = -1(-7 + 1x + (-7 * x + x * x)) fx = -1(-7 + 1x + (-7x + x2)) Combine like terms: 1x + -7x = -6x fx = -1(-7 + -6x + x2) fx = (-7 * -1 + -6x * -1 + x2 * -1) fx = (7 + 6x + -1x2) Solving fx = 7 + 6x + -1x2 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 + 6 + -1x Simplifying f = 7x-1 + 6 + -1x Reorder the terms: f = 6 + 7x-1 + -1x
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