Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

7 * 5 * 4 * 2 * 3 * 7

The correct combination of signs is +, −, ÷, −, =.

To balance the given equation, we replace the asterisks (*) sequentially with the mathematical signs from the correct option:
7 * 5 * 4 * 2 * 3 * 7
Substituting the signs sequentially, we get:
7 + 5 - 4 ÷ 2 - 3 = 7

To verify if this equation is balanced, we solve the left-hand side (LHS) using the BODMAS rule, which dictates the order of operations: Division, Multiplication, Addition, and Subtraction.

Step 1: Division (÷)
First, we perform the division operation:
$4\; ÷\; 2\; =\; 2$
Substitute this value back into the equation:
$7\; +\; 5\; -\; 2\; -\; 3\; =\; 7$

Step 2: Addition (+)
Next, we perform the addition operation:
$7\; +\; 5\; =\; 12$
Now the equation is:
$12\; -\; 2\; -\; 3\; =\; 7$

Step 3: Subtraction (−)
Finally, we perform the subtraction operations from left to right:
$12\; -\; 2\; =\; 10$
$10\; -\; 3\; =\; 7$
This gives us:
$7\; =\; 7$

Since the Left-Hand Side (LHS) is equal to the Right-Hand Side (RHS), the equation is balanced. Thus, the correct sequence of signs is indeed +, −, ÷, −, =.