To solve for $x$ in the given problem, we need to analyze the information provided.

You mentioned a parallelogram $O, P, Q, R$ with sides $OPQR$. You also gave the lengths of two segments:

• $PS = 7$
• $SR = 6x + 7$

Based on the properties of a parallelogram, opposite sides are equal in length. Therefore:

• The length of $PS$ must be equal to the length of $QR$.
• The length of $SR$ must be equal to the length of $OP$.

However, to proceed accurately, we would need a clearer relationship between the sides or diagonals, or we may need some additional information (like equal diagonals, angle relationships, etc.) to form an equation.

Please confirm if there are any additional details like whether $PS$ and $SR$ are sides or diagonals of the parallelogram, or if there's another given relation between these lengths.

Would you like to clarify or provide more details?