To solve this equation, we need to distribute the -5 on the left side:

-5(-2.4) + 5(1.1x) = 3.2x + 5.4

12 + 5.5x = 3.2x + 5.4

Next, we want to isolate the variable x by moving all terms involving x to one side of the equation:

5.5x - 3.2x = 5.4 - 12

2.3x = -6.6

Finally, we want to solve for x:

x = -6.6 / 2.3

x = -2.86956522

Therefore, the solution to the equation is x = -2.86956522.