For comforting and tasty noodles that won't break the bank, I would say that Tongue Tip Lanzhou Beef Noodles is a place worth checking out, with accessible outlets located at Jurong Point, Chinatown Point and Tiong Bahru Plaza.

They have a set meal where you can top up just $4 for a braised egg, one side dish and a canned drink. Wasn't expecting it but they do have quite a variety of side dishes to choose from, ranging from braised peanuts to tau kee and pickled vegetables, though none particularly outstanding that I would insist on ordering, but they do make good accompaniments to your meal. The braised egg was rather flavourful though.