ATLANTA — Prosecutors said Monday that 12 former Atlanta Public Schools educators and administrators cheated, lied and stole as part of a widespread but cleverly disguised conspiracy to inflate state test scores that affected thousands of students. Defense attorneys countered in their opening statements that their clients were committed educators but made enemies of former colleagues who are now lying about their involvement in cheating. A dozen former administrators, principals, testing coordinators and teachers face racketeering charges, more than a year after prosecutors indicted 35 staffers in a cheating scandal that shocked the nation's educators and parents.