If $+$ means $\times$, $-$ means $÷$, $\times$ means $-$, and $÷$ means $+$, what will be the value of the following expression?
$$9+7\times 15-5÷5=?$$

First, let's replace the mathematical signs with their defined meanings:
* Replace $+$ with $\times$
* Replace $\times$ with $-$
* Replace $-$ with $÷$
* Replace $÷$ with $+$

The original expression is converted into:

$$9\times 7-15÷5+5=?$$

Now, apply the BODMAS rule to solve it:

1. Division: $15÷5=3$

$$9\times 7-3+5=?$$

2. Multiplication: $9\times 7=63$

$$63-3+5=?$$

3. Addition & Subtraction:

$$63+5-3=68-3=65$$

Thus, the value of the expression is $65$.