I think this is a very good question. It was asked almost a year ago, and only received one response. I think the reason for the question is not readily apparent. It relates to a variety of issues/questions.
What if you play the Nimzo-Indian defense. What do you pair it with, if white plays 3Nf3? There is the QID, QGD, Bogo-Indian, modern Benoni. Blumenfeld. Anything else?
What if you tentatively decide to play the Nimzo with the QGD? Well why bother with the Nimzo in the first place? Why not simply play the QGD all the time? As an added bonus, the QGD pretty much provides a ready answer against the English opening.
Personally I like the forthright character of the queen's gambit declined. However, it involves learning the exchange variation, Bg5 variation, Bf4 variation, and the Catalan. If you play the Nimzo and the QGD, the exchange variation is largely neutralized. Also, Ne2 vs the Tartakover is gone. It may be worth it.
What if you play the Nimzo and QID instead? Well, no Catalan to worry about. The Nimzo and QID seem to be very good openings in both theory and practice. Still, there are many variations in the QID to learn. Also, you need an answer to the English opening. I think 1c4 e5 is good for black, but it certainly benefits from preparation and experience.
In theory, the Nimzo, QID, and 1c4 e5 provide a rock solid, with chances, repertoire and is the way to go. In practice, there are many variations to learn. Do they suit your style?
The Nimzo, QGD, and 1c4 e5, is a lot of work also. While this might suit my style better, statistics on the QGD are far from stellar from black's perspective.
Simply playing the QGD is an option. It's just one opening, despite several variations. Black plays directly and logically. Unfortunately, black provides no impediment for white, who can likewise play directly and logically. I think theory and practice are more difficult here.
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