WASHINGTON — Leading health industry groups, including hospitals, drugmakers, insurers and doctors, have agreed in a letter to President Barack Obama on ways to slow the explosive growth of health-care spending, according to administration officials and others knowledgeable about the agreement. The letter, which the president is to tout at the White House on Monday, embraces savings strategies being pushed by policymakers, such as simplifying billing, restructuring the way hospitals are paid and improving information technology. Their plan lacks detail about how the estimated $2 trillion in savings over the next decade would be realized. Nor does it outline any commitments by the industries to accept specific reductions in their revenues. Still, the agreement shepherded by the Service Employees International Union signals continued engagement by powerful health-care interests in the Obama administration’s push to overhaul the nation’s system. Several industry groups — including insurers, whose lobbying group signed the letter — have played central roles in defeating prior efforts to reshape the system, including the 1990s Clinton administration push. In addition to the SEIU, signatories include the American Medical Association; the American Hospital Association; the Pharmaceutical Research and Manufacturers of America; the Advanced Medical Technology […]