Solve  \[\frac{3x^2+2x+1}{x-1}=3x+1\]for $x$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve  \[\frac{3x^2+2x+1}{x-1}=3x+1\]for $x$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\frac{1}2
Solve  \[\frac{3x^2+2x+1}{x-1}=3x+1\]for $x$.
train