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Simplifying f(x) = x(x + -4) + -2(x + -4) Multiply f * x fx = x(x + -4) + -2(x + -4) Reorder the terms: fx = x(-4 + x) + -2(x + -4) fx = (-4 * x + x * x) + -2(x + -4) fx = (-4x + x2) + -2(x + -4) Reorder the terms: fx = -4x + x2 + -2(-4 + x) fx = -4x + x2 + (-4 * -2 + x * -2) fx = -4x + x2 + (8 + -2x) Reorder the terms: fx = 8 + -4x + -2x + x2 Combine like terms: -4x + -2x = -6x fx = 8 + -6x + x2 Solving fx = 8 + -6x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 8x-1 + -6 + x Simplifying f = 8x-1 + -6 + x Reorder the terms: f = -6 + 8x-1 + x
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