The phrase 'simply elegant' is correct and can be used in written English.
You can use it when you are trying to express that something is both elegant and straightforward. For example, "The chandelier in the dining room was simply elegant."
But in this simply elegant silk charmeuse gown with its collar of silvered feathers, Neilson appeared as the vision of an angel.
The four-times Italian PM said that the soirees he held at his Arcore villa near Milan were simply "elegant dinners", though other witnesses painted a different picture.
In particular, Stern's use of enzyme kinetics data to illustrate the role of dominance, the examples of pleiotropy (page 56), and explanations on epistasis are simply elegant, and also represent some of the best I have read on these topics.
Rooms here are simply elegant.
The small operation was sparkling clean, warm, and simply elegant.
Here are two simply elegant styles of DIY ornaments you can create this holiday season.
They might be "deluxe" or "super deluxe" or simply "luxury", like small, but elegant, European hotels.
This analysis raises the obvious question: How general is such a simple but elegant mechanism of cellular differentiation simply based on the double-helical structure of DNA?
Traditionally, scientists have treated the laws of physics as simply "given", elegant mathematical relationships that were somehow imprinted on the universe at its birth, and fixed thereafter.
The scores proved more memorable than the shows; in the case of "House of Flowers," which ran for only a hundred and thirty-seven performances, Wilder wrote, the score "was simply too elegant, too subtle, too far beyond the deteriorating taste of an expense-account clientele".
