6• (x - 7) + 13x = 7• (2x - 6) + 27

To solve the given equation, let's first simplify both sides:

6(x - 7) + 13x = 7(2x - 6) + 27 6x - 42 + 13x = 14x - 42 + 27 19x - 42 = 14x - 15

Now, let's isolate the variable x by moving all terms containing x to one side of the equation:

19x - 42 - 14x = -15 5x - 42 = -15

Next, let's solve for x:

5x = -15 + 42 5x = 27 x = 27 / 5 x = 5.4

Therefore, the solution to the equation is x = 5.4.