https://file.aiquickdraw.com/mathbot/file/1730074182241nsfc33i6.jpg

From the table in your image, the goal is to find the value of \( x \), which appears in the "large" row and the "black" column. 

To solve this, we use the total in the black column. The total for the black column is given as 78, which is the sum of the large and small categories under black. Therefore, we can set up the following equation:

\[
x + 31 = 78
\]

Solving for \( x \):

\[
x = 78 - 31 = 47
\]

So, the value of \( x \) is 47.

Do you want any further details on this? Here are 5 questions to explore related ideas:

1. How would the solution change if the total for black was a different number?
2. Can this method be used for any other cells in the table?
3. How can we verify that all totals are consistent across rows and columns?
4. What type of math concept is used to solve this type of table problem?
5. What would happen if a different cell was missing instead of \( x \)?

**Tip:** Always double-check row and column totals when working with tables to ensure that all values are consistent.

Find the value of x in the table, given the totals for rows and columns.

Learn how to find the missing value x in a table using basic algebra. This problem involves setting up and solving equations based on row and column totals, perfect for students in Grades 6-8.

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