To solve for x, we need to isolate x on one side of the equation.

First, distribute the 38 on the left side of the equation:

38x + 38$121$ = 266

Now, simplify the right side by multiplying:

38x + 4598 = 266

Next, subtract 4598 from both sides to isolate the x term:

38x = -4332

Lastly, divide by 38 to solve for x:

x = -113.68

So, the solution to the equation is x = -113.68.