Final answer:
To solve the given expression, follow the order of operations or PEMDAS.
Step-by-step explanation:
To solve the given expression -7+[-3+ (-7x-2)]+3^2, we need to follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
- Simplify the expression inside the innermost parenthesis, -7x-2, which gives us -7x + 2.
- Now evaluate the expression inside the square bracket [-3 + (-7x + 2)], which becomes -3 - 7x + 2 = -1 - 7x.
- Next, simplify the outer expression -7 + (-1 - 7x), which becomes -7 - 1 - 7x = -8 - 7x.
- Finally, evaluate the expression 3^2, which is equal to 9.
Putting it all together, the final solution is -8 - 7x + 9 = -7x + 1.
Learn more about Order of Operations