Question 36·Hard·Probability and Conditional Probability

The table above shows the numbers of employees at a company, classified by department and by whether they work remotely or on-site.

If an employee is selected at random:

• The probability that the employee belongs to the Engineering department given that the employee works remotely is $\dfrac{3}{7}$.
• The probability that the employee works remotely is $\dfrac{7}{18}$.

What is the value of $x$?