Let's simplify the equation by combining like terms:

7.24x + 2.6 - 12 = -13 + 2.6 - 2.76x

First, combine the constants on both sides of the equation:

7.24x - 9.4 = -10.4 - 2.76x

Next, move all the terms involving x to one side of the equation and all the constants to the other side:

7.24x + 2.76x = -10.4 + 9.4

10x = -1

Finally, solve for x by dividing both sides by 10:

x = -0.1

Therefore, the solution to the equation is x = -0.1.