The ________ balance is the sum of the balance of merchandise trade, services and net transfers received from the rest of the world.

It’s the current account that reflects the balance of good and services and net transfer received from the rest of the world. Moreover, the purchase of goods and machineries, investment made, are part of capital account. Thus it’s both the capital and current account together that constitute Balance of payments, which is the record of a country economic transaction done with the rest of the world.