Just after enabled clean URLs on the my site, the site stops.

Just after enabled clean URLs on the my site, the site stops. Now I am forced to use a links like this (http://example.org/admin/config/search/clean-urls) to access the site by entering them into the address bar of the browser.

Drupal 7.59
OS Ubuntu 16.04 x64
MySQL 5.7.22
PHP v. 7.0
Apache 2.4.18
NGINX 1.10.3 

The logs contain the following:

127.0.0.1 – – [24/Jul/2018:12:36:31 +0300] “GET /index.php?q=admin/config HTTP/1.0” 200 5037 “http://example.org/?q=node” “Mozilla/5.0 (Windows NT 6.1; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/67.0.3396.99 Safari/537.36”

Recommendations on the page https://www.drupal.org/node/15365 did not help.

Drupal version: 


Source: https://www.drupal.org/taxonomy/term/22/feed