Boil the chicken and giblets in 8 cups (2 liters) of water or more, as needed, with the salt for about 1 ½ hours, skimming as needed.
Remove the chicken and strain the broth. (Add some shredded chicken into the soup, if desired, or use the chicken for another recipe.) Put the broth back into the pot, add the rice and simmer for about 15 minutes.
Add the leeks and simmer until the rice and leeks are ready. Check for seasoning and add salt, bouillon and pepper as needed.
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