Some cryptographers suspect there's a way to break DESX with an attack space of less than 112 bits but more than 56 bits. Essentially, DES is dead. Don't use it for anything that has a time value greater than 20 hours. We must now use the tools at hand and make tactical decisions until AES is finalized. The effort the attacker will use is based on a balance between the value of the data and the cost of the attack.
Time is as much a factor in determining the value as any monetary consideration.
Yet, certain financial transactions might be worthless to an attacker 10 minutes after execution. Data requiring protection for a few years should use DESX or an 80-bit RC5 or CAST key. It's important to mix the algorithms to maintain a diverse front against attack. Just remember that what's adequate CPU today may be too little tomorrow as you use more secure communications. It's wise to establish a key-length policy early and review it annually.