We can rewrite the equation as:

2(6^x) - 24^x - 9(4^(x+1)) + 72 = 0

Now we can simplify further:

2(6^x) - (38)^x - 9(44^x) + 72 = 0
2(6^x) - 3^x(8^x) - 36*(4^x) + 72 = 0

Now we can see that we can factor out a common term:

2(6^x) - 3^x(8^x) - 36(4^x) + 72 = 0
2(6^x) - 3^x(8^x) - 36(4^x) + 236 = 0
2(6^x) - 3^x(8^x) - 36(4^x) + 2*36 = 0

Now we have simplified the equation as far as we can without actually solving for x. To solve for x, we will likely need to use logarithms or some other algebraic technique.