The seven laws that were given to Adam and Noah are discussed in the Talmud (tractate Sanhedrin). In brief, these laws are: establishing a legal system; refraining from idolatry, blasphemy, murder, robbery, adultery and incest; and not eating from an animal while it is still alive. ("Adultery and incest" counts only as one; the Hebrew word for this class of forbidden sexual relations doesn’t have a one-word translation in English.)
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