Answer: $24$

Explanation:

$1$ . Calculate the mean of the Chicago data set:

   - The mean is the sum of the values divided by the number of values.

   - Sum of Chicago data: $31 + 13 + 44 + 32 + 53 + 22 + 44 = 239$

   - Number of values = $7$

   - Mean of Chicago data = $\dfrac{239}{7}$

$2$ . Set up the expression for the mean of the San Francisco data set:

   - Sum of San Francisco data: $46 + 31 + 19 + 33 + 48 + x + 38 = 215 + x$

   - Number of values = $7$

   - Mean of San Francisco data = $\dfrac{215 + x}{7}$

$3$ . Set the means equal to each other as stated in the problem:

   $\dfrac{239}{7} = \dfrac{215 + x}{7}$

$4$ . Solve for x:

   - Since the denominators are equal, the numerators must be equal.

     $239 = 215 + x$

   - Subtract $215$ from both sides:

     $x = 239 - 215$

     $x = 24$

$5$ . Conclusion:

   - The value of x is $24$ .