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Simplifying f(x) = (4x + -2)(3x + 9) Multiply f * x fx = (4x + -2)(3x + 9) Reorder the terms: fx = (-2 + 4x)(3x + 9) Reorder the terms: fx = (-2 + 4x)(9 + 3x) Multiply (-2 + 4x) * (9 + 3x) fx = (-2(9 + 3x) + 4x * (9 + 3x)) fx = ((9 * -2 + 3x * -2) + 4x * (9 + 3x)) fx = ((-18 + -6x) + 4x * (9 + 3x)) fx = (-18 + -6x + (9 * 4x + 3x * 4x)) fx = (-18 + -6x + (36x + 12x2)) Combine like terms: -6x + 36x = 30x fx = (-18 + 30x + 12x2) Solving fx = -18 + 30x + 12x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -18x-1 + 30 + 12x Simplifying f = -18x-1 + 30 + 12x Reorder the terms: f = 30 + -18x-1 + 12x
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