<|system|>
Solve  \[\frac{3x^2+2x+1}{x-1}=3x+1\]for $x$.</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Cross-multiplication gives  \[3x^2+2x+1=(x-1)(3x+1)=3x^2-2x-1.\]Therefore \[4x=-2\]and $x=-\frac{1}2$.