To solve the equation, we can simplify the expression on the left side first:

6(x + 11) - 7(2 - x) = 26

Distribute the 6 and -7:

6x + 66 - 14 + 7x = 26

Combine like terms:

13x + 52 = 26

Subtract 52 from both sides:

13x = -26

Divide both sides by 13:

x = -2

Therefore, the solution to the equation is x = -2.