<|system|>
What is the smallest possible integer value of $x$ if $12\div(x+1)$ is an integer?</s>.
<|user|>
Can you answer based on context?
<|assistant|>
$x+1$ must be a positive or negative factor of 12. The minimum value of $x$ is achieved when $x+1$ is the most negative factor of $12$, or $-12$. Then, $x=-13$.