It looks like there is an error in the solution process as presented. Let's go through the equation step by step to find the solution correctly.
The original equation is:
\[ x + 2(x + 1) = 17 \]
Step 1: Distribute the \(2\) in the expression:
\[ x + 2x + 2 = 17 \]
Step 2: Combine like terms:
\[ 3x + 2 = 17 \]
Step 3: Subtract \(2\) from both sides:
\[ 3x = 17 - 2 \]
\[ 3x = 15 \]
Step 4: Divide both sides by \(3\):
\[ x = \frac{15}{3} \]
\[ x = 5 \]
So, the correct solution to the equation \( x + 2(x + 1) = 17 \) is \( x = 5 \). The final answer \( x = 45 \) in the provided steps is incorrect.