Let's simplify the expression given in the image:

The expression is:

$3(x + 2) - 7 + 4x$

Step-by-Step Simplification:

1. Distribute the $3$ to both $x$ and $2$: $3(x + 2) = 3x + 6$

2. Now, rewrite the expression with the distribution: $3x + 6 - 7 + 4x$

3. Combine like terms:

   • Combine the $x$-terms: $3x + 4x = 7x$
   • Combine the constants: $6 - 7 = -1$

So the simplified expression is:

$7x - 1$

Would you like further clarification or details on any of the steps?

Related Questions:

1. How do you distribute in algebraic expressions?
2. What are "like terms," and why do we combine them?
3. How do constants interact with variables when simplifying expressions?
4. Can you explain why distributing is necessary before combining terms?
5. What happens if there are multiple variables in an expression?

Tip:

Always distribute first before combining like terms when simplifying expressions.