To solve this expression, we will follow the order of operations (PEMDAS/BODMAS):

7.07 * 1.27 + 9.03 * 1.27 - 0.635 * 12.2 / 20.1 * (127 - 10) + 291

First, we will simplify the multiplication and division:

8.979 + 11.4801 - 7.767 * (127 - 10) + 291

Next, we will simplify the subtraction within the parentheses:

8.979 + 11.4801 - 7.767 * 117 + 291

Then, we will simplify the multiplication:

8.979 + 11.4801 - 908.439 + 291

Now, we will simplify the addition and subtraction:

(8.979 + 11.4801 - 908.439) + 291

-887.9799 + 291

Finally, we will perform the addition:

-596.9799

Therefore, the value of the expression is approximately -596.9799.