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ANSWER: Yes, you can apply for naturalization, and it can be approved. Generally, although owing back taxes can be a bar to naturalization, in many cases, if you can show that you are making an effort to resolve your tax issues, you may still be eligible.
Unfortunately, however, the decision is discretionary. The USCIS officer has discretion in the determination of approval or denial with a back taxes issue. But when making this decision, the officer considers whether you entered into a payment plan voluntarily and then made an effort to become current.
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