Virtualbox centos: Device eth0 does not seem to be present

If, when copying a VM from one computer to another one, you face this error:

service network restart
...
Bringing up interface eth0: Device eth0 does not seem to be present, delaying initialization.

Then ensure first that /etc/sysconfig/network-scripts/ifcfg-eth0 has the same MAC address as in Virtualbox network settings, plus

rm /etc/udev/rules.d/70-persistent-net.rules

and reboot