mysql broke; how to save some of the table?

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http://serverfault.com – For some reason, my mysql cant connect any more. Im running 3 wordpress websites and I need to save the tables. Thats 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) Same error is display when logging in with phpmyadmin.. All of the websites display this error Error establishing a database connection (HowTos)