Hi Jurgen!
I'm on my phone, so I can't check if 32bit is already enabled on the 64bit system.
First, let's assume it's not.
Just in case something was missed, open your terminal and enter the following...
sudo dpkg --add-architecture i386
Hit Enter on your keyboard...
Nothing will happen.
Now enter...
sudo apt-get update
After that finishes, try installing Wine again.
I'll try to check back in a few hours (sorry) if no one else has chimed in.
If you've already done both steps above, we'll go from there.