I recently bought myself a set of Logitech Z4 speakers, unfortunately they didn't come with a remote and the set doesn't work at all without it. So I had to bypass it based on information lying around on the internet. Ironically the most helpful has been a terrible thumbnail that talked about what to connect to bypass having a remote.
Short summary for those that don't want to try and read the image:
4 - 5 for power on (do not misconnect, shorting power to ground or wrong pin will require repairs!)
6 - 7 for right channel enable
1 - 2 for left channel enable
6 - 3 and 1 - 3 trough a 1MOhm resistor for a reasonable amount of bass