1. **Problem statement:** David divided his collection of stamps into equal groups of 9, and there are 112 groups. We need to find the total number of stamps in David's collection. 2. **Formulating the equation:** Let $x$ be the total number of stamps. Since the stamps are divided into groups of 9, and there are 112 groups, the total number of stamps is the number of groups multiplied by the number of stamps per group. The correct equation is: $$x = 9 \times 112$$ 3. **Solving the equation:** Calculate: $$x = 9 \times 112$$ $$x = 1008$$ 4. **Check the answer:** Divide the total stamps by 9 to see if it equals 112: $$\frac{1008}{9} = 112$$ This confirms the solution is correct. **Final answer:** David has $1008$ stamps in his collection.