To solve the equation \( 7(x - 19) = 133 \), follow these steps:
Divide both sides by 7 to isolate the expression in the parentheses: \[ x - 19 = \frac{133}{7} \] Calculate \( \frac{133}{7} \): \[ \frac{133}{7} = 19 \] So we have: \[ x - 19 = 19 \]
Now, add 19 to both sides to solve for \( x \): \[ x = 19 + 19 \] \[ x = 38 \]
Thus, the solution is: \[ \boxed{38} \]