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Say you are trying to program monero-wallet-cli for the first time.

You've got a Monero daemon running that affords you this API: https://www.getmonero.org/resources/developer-guides/daemon-rpc.html

What set of RPC calls do you need to make to calculate the final balance of the address that you have private keys to?

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You've got a Monero daemon running that affords you this API

You use the monero-wallet-cli or monero-wallet-rpc to work with wallets (interactively or programmatically, respectively), not the daemon (which is for working with the blockchain/network).

How to calculate address balance with daemon RPC calls?

In the monero-wallet-cli you'd use the command balance detail, or via the monero-wallet-rpc, get_balance.

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