To evaluate the expression \(10.7x - 33.7 + 26x\) for \(x = 1.9\), we first substitute \(x\) with \(1.9\):
\[ 10.7(1.9) - 33.7 + 26(1.9) \]
Now, calculate \(10.7(1.9)\):
\[ 10.7 \times 1.9 = 20.33 \]
Next, calculate \(26(1.9)\):
\[ 26 \times 1.9 = 49.4 \]
Now, substitute these values back into the expression:
\[ 20.33 - 33.7 + 49.4 \]
Perform the subtraction:
\[ 20.33 - 33.7 = -13.37 \]
Now add \(49.4\):
\[ -13.37 + 49.4 = 36.03 \]
So, the final value of the expression when \(x = 1.9\) is:
\[ \boxed{36.03} \]