Find the real roots of
\[\frac{6 - x}{x^2 - 4} = 2 + \frac{x}{x + 2}.\]Enter the roots, separated by commas.The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Let's think step by step and output the final answer within \boxed{}.
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