Let's solve the equation \(3(3x + 2) = 42\).

First, we'll distribute the 3 on the left-hand side of the equation:

\[3 \cdot 3x + 3 \cdot 2 = 42\]
\[9x + 6 = 42\]

Next, we'll isolate the term with \(x\) by subtracting 6 from both sides:

\[9x + 6 - 6 = 42 - 6\]
\[9x = 36\]

Now, we'll solve for \(x\) by dividing both sides by 9:

\[x = \frac{36}{9}\]
\[x = 4\]

So, the solution to the equation \(3(3x + 2) = 42\) is \(x = 4\).

Would you like further details or have any questions about this solution?

Here are some related questions for further practice:
1. Solve \(2(4x + 5) = 30\).
2. Solve \(5(2x - 3) = 40\).
3. Solve \(4(3x + 1) = 28\).
4. Solve \(6(2x + 4) = 48\).
5. Solve \(7(3x - 2) = 56\).
6. Solve \(8(2x + 3) = 64\).
7. Solve \(10(4x + 2) = 100\).
8. Solve \(9(5x + 1) = 90\).

**Tip:** Always check your solution by substituting the value of \(x\) back into the original equation to verify if it satisfies the equation.

Learn how to solve the equation 3(3x + 2) = 42 with a detailed step-by-step solution. This problem involves applying the distributive property and solving linear equations. Suitable for students in Grades 7-9.

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