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Jimmy Kimmel ’s longtime bandleader, Cleto Escobedo III , died because his heart couldn't pump enough blood to keep him alive, TMZ has learned.

We obtained Cleto's death certificate and it lists cardiogenic shock as the immediate cause of death ... with vasodilatory shock, disseminated intravascular coagulation and alcoholic cirrhosis of the liver as the underlying causes.

The document also says other conditions that contributed to Cleto's death include sepsis, graft versus host disease, immunosuppressed, chronic kidney disease and pneumonia.

Cardiogenic shock is a life-threatening condition that happens when the heart suddenly can't pump enough blood to meet the body's needs ... according to the Mayo Clinic.

The doc says Cleto was cremated

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