Thanks for your question. It is a very important part of the tax total. The unexempt means there are no homestead or over 65 or disabled/handicapped filed expemptions on this property. The total taxes are without any thing discounted!
You are entitled to a homestead exemption on property you purchase in the state of texas. I can get you more details on how this is calculated by the state and other taxing authorities for specific properties.
It would be wise to just compare tax rates in the areas as opposed to comparing the total taxes as they can vary from entity to entity --school districts, education, airport, drainage, water -- all these can tax property.
Please let me know how I can help you further in your home buying process if you are not exclusively working with another agent at this time.