Let's solve the equation given in the image:

Equation:

$3x - 7 + 4x = 28$

Step 1: Combine like terms

Combine the $x$ terms on the left-hand side: $3x + 4x - 7 = 28$ $7x - 7 = 28$

Step 2: Isolate the variable term

Add 7 to both sides to isolate the $7x$ term: $7x = 28 + 7$ $7x = 35$

Step 3: Solve for $x$

Divide both sides by 7: $x = \frac{35}{7}$ $x = 5$

Answer:

The correct answer is D. $x = 5$.

Would you like more details or have any further questions?

Here are some related questions to further your understanding:

1. What would the solution be if the equation were $3x - 7 - 4x = 28$?
2. How would the equation change if the constant on the right side was doubled?
3. What if instead of adding 4x, you subtracted 4x from the equation? How would that affect the solution?
4. If you multiply the entire equation by 2, what would be the new solution for $x$?
5. Can you create a similar equation that would have a solution of $x = 10$?

Tip: Always simplify and combine like terms in an equation before solving for the variable.