1. Initial expression: Let's represent the cost of a large drink as "D" and the cost of a large tub of popcorn as "P." The total cost for 2 adults and 3 kids can be expressed as:
\(2D + 3D + 2P + 3P\)
2. Simplifying the expression using the distributive property and combining like terms:
\(2D + 3D + 2P + 3P = 5D + 5P\)
Therefore, the simplified expression for the total cost of buying a large drink for everyone and a large tub of popcorn for everyone is \(5D + 5P\).