What is the  sum of the reciprocals of the roots of the equation $
\frac{2003}{2004}x + 1 + \frac{1}{x} = 0?
$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the  sum of the reciprocals of the roots of the equation $
\frac{2003}{2004}x + 1 + \frac{1}{x} = 0?
$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-1
What is the  sum of the reciprocals of the roots of the equation $
\frac{2003}{2004}x + 1 + \frac{1}{x} = 0?
$
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