Once upon a time in a land of numbers and mysteries, a mathematician named Syra discovered a magical dice. This wasn't an ordinary dice — whenever thrown, it could reveal hidden secrets of the numbers it touched. Syra wanted to test its powers, so she devised a challenge for you, the brave coder.

The magical dice is a regular six-sided die with faces numbered from 1 to 6. If you throw this dice twice, you get two outcomes — let's call them $$$a$$$ and $$$b$$$, each ranging from $$$1$$$ to $$$6$$$. Your mission is to determine whether it's possible that the sum of these two throws, $$$a + b$$$, can be equal to a given integer $$$x$$$.