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Simplifying f(x) = x2 + 2kx + (3 + 2k) Multiply f * x fx = x2 + 2kx + (3 + 2k) Remove parenthesis around (3 + 2k) fx = x2 + 2kx + 3 + 2k Reorder the terms: fx = 3 + 2k + 2kx + x2 Solving fx = 3 + 2k + 2kx + 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 = 3x-1 + 2kx-1 + 2k + x Simplifying f = 3x-1 + 2kx-1 + 2k + x Reorder the terms: f = 2k + 2kx-1 + 3x-1 + x
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