You will file taxes in the state you live. You will not file a DC return if you are a DC nonresident unless DC taxes were mistakenly withheld. You will need to file a Virginia return if you are a Virginia resident, if you work physically in Virginia and live in a state that does not have a reciprocal agreement with Virginia, or if you worked in Virginia but live in a state with a reciprocal agreement with Virginia and Virginia taxes were mistakenly withheld from the taxes.
If you need additional assistance, feel free to provide additional details.
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