Yes, this is not taxable in Virginia. It will be exempted from income. Here's an excerpt from the Virginia state website that speaks about this: https://tax.virginia.gov/subtractions#social-security-act
Social Security Act and Equivalent Tier 1 Railroad Retirement Act BenefitsVirginia law exempts Social Security and Tier 1 Railroad Retirement benefits from taxation. If you were required to include any of your benefits in federal adjusted gross income, subtract that amount on your Virginia return. Do not include Tier 2 Railroad Retirement Benefits and Other Railroad Retirement and Railroad Unemployment Benefits. For subtracting other benefits, see Tier 2 and other Railroad Retirement and Railroad Unemployment Benefits. Code of Virginia Section 58.1-322[C][4]
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