First up, you haven’t lost your private keys - you are likely thinking about your backup seed phrase. If you lose this but still have your hardware wallet, you still have access to your funds - don't sress.
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The challenge is that you’re operating without a backup. Risky stuff!

We recommend following Ledger's guide for this situation.
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Don't worry, we've all been there. Take your time and you'll be up and running very quickly.