Ahmed sells different types of cake in his shop. The cost of each cake depends on its type and its size. Every small cake costs $$\(\$ x\)$$ and every large cake costs $$\(\$(2 x+1)\)$$. The number of small cherry cakes that can be bought for $$\(\$ 4\)$$ is the same as the number of large cherry cakes that can be bought for $$\(\$ 13\)$$. Find the cost of a small cherry cake. $$\(\$\)$$ ............................................

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