To simplify the expression using the order of operations, we follow these steps:
Step 1: Simplify within parentheses (if any).
There are no parentheses in the expression.
Step 2: Simplify exponents (if any).
There are no exponents in the expression.
Step 3: Perform multiplication and division from left to right.
8 + 7x6 - 3x4 + 6x7
= 8 + 42 - 12 + 42
Step 4: Perform addition and subtraction from left to right.
= (8 + 42) - 12 + 42
= 50 - 12 + 42
= 38 + 42
= 80
So, 8 + 7x6 - 3x4 + 6x7 equals 80.