We need to subtract the expression $-2x^2 - 2x - 7$ from $2x^2 + 7$. Let's go step by step:

Expression 1:

$2x^2 + 7$

Expression 2 (to subtract):

$-2x^2 - 2x - 7$

Now, subtract Expression 2 from Expression 1: $(2x^2 + 7) - (-2x^2 - 2x - 7)$

Distribute the minus sign: $2x^2 + 7 + 2x^2 + 2x + 7$

Now, combine like terms: $(2x^2 + 2x^2) + 2x + (7 + 7)$

$4x^2 + 2x + 14$

Thus, the result of the subtraction is: $4x^2 + 2x + 14$

Would you like further details on any steps or have any questions?

Here are 5 related questions:

1. How do you handle subtracting polynomials with more variables?
2. What are like terms, and how do you combine them?
3. How can you check your work when subtracting algebraic expressions?
4. What is the difference between addition and subtraction of polynomials?
5. How do you factor the result of a polynomial subtraction?

Tip: Always distribute negative signs carefully when subtracting algebraic expressions to avoid errors.