The datasheet for the LM3886 does not say its input resistance. It is probably 100k or more so ten makes 10k ohms.
But you don't need a volume control for each one so all ten LM3886 amplifiers can be driven from an opamp that has a single volume contol on its input.
You don't need a separate volume control for each LM3886 amplifier but their inputs need a DC path to ground. So feed their inputs in parallel from the output of an opamp (DC coupled) that has a single volume control on its input.