Find the real roots of
\[\frac{6 - x}{x^2 - 4} = 2 + \frac{x}{x + 2}.\]Enter the roots, separated by commas.
<|im_start|>system
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<|im_start|>user
Find the real roots of
\[\frac{6 - x}{x^2 - 4} = 2 + \frac{x}{x + 2}.\]Enter the roots, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{7}{3}
Find the real roots of
\[\frac{6 - x}{x^2 - 4} = 2 + \frac{x}{x + 2}.\]Enter the roots, separated by commas.
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