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Hi Nancy,
Texas law doesn’t cover this, as far as I know. However, Texas law does state that regular board meetings must be open to all members. You can probably strip a member of their privileges temporarily for being delinquent. However, your HOA’s CC&Rs should reflect this authority. The same goes for barring them from using the facilities.
Tread cautiously. Ask a lawyer if you’re unsure.
Hope this helps.