The lease was broken and you were evicted. By law, the landlord had to go through summary proceedings to evict you. You had a duty to leave a forwarding address. Looks like this did not occur. You will be on the hook for the outstanding balance. Call the landlord, maybe you can negotiate a settlement. Good Luck.
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If you run into problems trying to settle this issue, you might contact the Texas Attorney General's Office.
https://www.oag.state.tx.us/consumer/tenants.shtmlAsk a similar question