To solve the expression \( 7 + 7 \div 7 + 7 \times 7 - 7 \), we should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
First, we perform the division and multiplication: \[ 7 \div 7 = 1 \] \[ 7 \times 7 = 49 \]
Now we can substitute these results back into the expression. The expression becomes: \[ 7 + 1 + 49 - 7 \]
Next, we perform the addition and subtraction from left to right: \[ 7 + 1 = 8 \] \[ 8 + 49 = 57 \] \[ 57 - 7 = 50 \]
So, the final result is \( \boxed{50} \).
