Milen007,
I am not sure what this 10x, stuff is about with damping factor above, but what most need to look at with matching a good TUBE to Solid stated device iE: Tube Pre to a SS AMP.. Is the Impedance factor... This would be better to have from what many say at least 10 times the impedance at your amp inputs over what the output impedance is at the preamps outputs..
But normally if you stick with a Tube pre having 1000 ohms or less output you theoretically should be able to drive even many SS amps with a input impedance of 10,000 ohms, or 10 k ohms.
I would normally say look at conrad johnson or several other tube pres putting out like 50 ohms up to about 600 ohms, and you should be just about safe with any SS amp you chose, however this is kinda the Technical side of what many consider "Synergy" being an actual value matched to help you get good electrical synergy between your components..
However the other type "Synergy" can be simply one flavor of sound feeding another for the extra musical balance you seek as well, and that synergy will have to be decided by you if you like one combination or not.
Good luck, and by the way I am not a tech, but somebody can attempt to correct my above assumptions with better detail.