Simplify the equation by combining like terms:

9.14x - 9.82 - 2.74x = 9.7
(9.14x - 2.74x) - 9.82 = 9.7
6.4x - 9.82 = 9.7

Add 9.82 to both sides to isolate the variable:

6.4x - 9.82 + 9.82 = 9.7 + 9.82
6.4x = 19.52

Divide by 6.4 to solve for x:

x = 19.52 / 6.4
x = 3.05

Therefore, the solution to the equation is x = 3.05.