Is it possible to have self-interest while also being able to form our own moral judgements? — Pietercircus10

If drawing on the work of Adam Smith, surely you refer to rational self interest - and not to immoral/amoral selfishness?

Don't they cancel each other out? — Pietercircus10

No. Economic decision making driven by rational self interest is, overwhelmingly, a moral good.

"It is not by the generosity of the butcher and baker that I have my supper, but by their regard to their own rational self interests."

I probably agree with the previous answer, at least in large part. But I’d also add that what we often call self-interest, our fundamental motivations, are not self-interest at all—they are simply teleonomic. We just act as though we are self-interested, when in fact on that level it’s nothing but instinct.