To solve the equation \( 9x + 7(34) = -7 \), we start by simplifying the expression. First, multiply \( 7 \) by \( 34 \):
\[ 7 \times 34 = 238 \]
Now, substitute this value back into the equation:
\[ 9x + 238 = -7 \]
Next, we need to isolate \( 9x \). To do this, subtract \( 238 \) from both sides:
\[ 9x = -7 - 238 \] \[ 9x = -245 \]
Now, to solve for \( x \), divide both sides by \( 9 \):
\[ x = \frac{-245}{9} \]
Thus, the solution is:
\[ x = -\frac{245}{9} \]
If needed, you can convert this to a mixed number or decimal:
\[ x \approx -27.2222 \quad \text{(approximately)} \]
So the exact answer is:
\[ x = -\frac{245}{9} \]