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"first important" is correct and usable in written English.
Generally, it is used to emphasize the importance of something. For example, "It is the first important lesson of the semester."
Exact(60)
Its decision on Opel would be one of its first important actions.
Lessing was the first important Romantic critic.
BAROQUE was the first important international style.
"It was his first important job".
The first important family was the fougères.
(The Havemeyers were Tiffany's first important patrons).
The first important policy book of 2018.
The first important file is /etc/asppp.cf.
That's the first important thing he did.
In fact, Theo's first important work was a sky piece.
The first important US politics book in election year.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com