The relation between the integration on concentric hypercubes

Question

In $R^n$, $Q$ is a hypercube that can be in anywhere in $R^n$. $MQ$ is the concentric hypercube with $Q$, and its radius is M times of the radius of $Q$.How to prove that there exists a constant C that only depends on n such that:$$\int_{MQ}\frac{1}{|x|}dx\leq C\int_Q \frac{1}{|x|}dx, \forall Q \ \ \text{in $R^n$}$$ I don't know how to prove $C$ is independent of $Q$. It is easy to prove that when $Q$ is centered at original point, $C=M^{n-1}$. But for other cases, I have no idea. In addition, $n>1,M>1$, $|x|$ is the Euclidean norm of $x$. Maybe the polar coordinates are helpful.