MySQL broke; how can I save some of the tables?

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http://serverfault.com – For some reason my MySQL can't connect any more. I'm running three WordPress sites and I need to save the tables. That's what I really really really really care about. Here is the problem: root@dev:/var/log/mysql# mysql ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2) The same error is displayed when logging in with phpMyAdmin.. All of the websites display this error: Error establishing a database connection (HowTos)