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To set up the equation based on the problem statement, we can break it down as follows:
1. Let \( x \) be the unknown number.
2. The phrase "two times the sum of a number and 24" translates to \( 2(x + 24) \).
3. The phrase "the difference of 76 and that same number" translates to \( 76 - x \).
Putting it all together, we have the equation:
\[ 2(x + 24) = 76 - x \]
Thus, the correct response is:
**2(x + 24) = 76 - x**
*2 times open paren x plus 24 close paren is equal to 76 minus x*