Let's simplify the expression $3(2x + 4) + 7$.

1. Distribute $3$ to both terms inside the parentheses: $3 \cdot 2x + 3 \cdot 4 = 6x + 12$

2. Rewrite the expression after distribution: $6x + 12 + 7$

3. Combine like terms $12$ and $7$: $6x + 19$

So, the simplified expression is: $6x + 19$

Would you like more details or have any questions?

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1. How would the solution change if the expression were $3(2x - 4) + 7$?
2. What is the result if we add another term, say $5x$, to $6x + 19$?
3. How do we handle expressions like $3(2x + 4) + 7x$?
4. What are similar simplification techniques for expressions with three terms, like $3(2x + 4) + 7 + 2x$?
5. Can you factor the expression $6x + 19$ further?

Tip: When simplifying, distribute first, then combine like terms for a cleaner result.