Let's solve the equation step by step:
We start with the equation:
\[ -3(-3x + 2) - 2x - 1 = -35 \]
First, distribute \(-3\) into \(-3x + 2\):
\[ -3 \times -3x = 9x \ -3 \times 2 = -6 \]
So, the equation becomes:
\[ 9x - 6 - 2x - 1 = -35 \]
Now combine like terms (\(9x\) and \(-2x\)) and also combine the constant terms (\(-6\) and \(-1\)):
\[ (9x - 2x) + (-6 - 1) = -35 \ 7x - 7 = -35 \]
Next, add \(7\) to both sides of the equation:
\[ 7x - 7 + 7 = -35 + 7 \ 7x = -28 \]
Now, divide both sides by \(7\) to solve for \(x\):
\[ x = \frac{-28}{7} \ x = -4 \]
Thus, the solution is:
\[ \boxed{-4} \]