  Evolutionary tracks for the X-ray binaries Cyg X-3, IC 10 X-1, NGC 300 X-1,
SS 433, and M33 X-7 are computed using the Scenario Machine code. The compact
objects in IC 10 X-1, NGC 300 X-1, and M33 X-7 are the most massive stellar
mass black hole candidates. Cyg X-3, IC 10 X-1, and NGC 300 X-1 are the only
currently known Wolf-Rayet stars with degenerate companions. SS 433 is the only
known superaccretor in the Milky Way. Therefore, the stars studied provide
excellent laboratories for testing scenarios for the evolution of binaries
under extreme conditions. The classical evolutionary scenario is consistent
with modern observational data. During the evolution of these binaries,
hypernova explosions accompanied by the collapse of stellar cores with large
angular momenta can occur, leading to long gamma-ray bursts. At the end of
their evolution, Cyg X-3, IC 10 X-1, NGC 300 X-1, and SS 433 may form binary
relativistic objects, which will subsequently merge due to the radiation of
gravitational waves. The gravitational waves emitted during mergers of
relativistic stars should be detectable by existing and future
gravitational-wave antennas. In the course of its future evolution, M33 X-7
will pass through a Thorne-Zytkow stage. The formation of a Thorne-Zytkow
object can also be accompanied by gravitational-wave radiation. Figure 2
contains two merging black holes with masses almost identical to the second
LIGO event GW151226.
