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Simplifying f(x) = (2x + 6)(x + -7) Multiply f * x fx = (2x + 6)(x + -7) Reorder the terms: fx = (6 + 2x)(x + -7) Reorder the terms: fx = (6 + 2x)(-7 + x) Multiply (6 + 2x) * (-7 + x) fx = (6(-7 + x) + 2x * (-7 + x)) fx = ((-7 * 6 + x * 6) + 2x * (-7 + x)) fx = ((-42 + 6x) + 2x * (-7 + x)) fx = (-42 + 6x + (-7 * 2x + x * 2x)) fx = (-42 + 6x + (-14x + 2x2)) Combine like terms: 6x + -14x = -8x fx = (-42 + -8x + 2x2) Solving fx = -42 + -8x + 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 = -42x-1 + -8 + 2x Simplifying f = -42x-1 + -8 + 2x Reorder the terms: f = -8 + -42x-1 + 2x
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