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We are given the function:

\[
f(x) = 3x - 4
\]

We are asked to find \( x \) when \( f(x) = 7 \). This means we can set up the equation:

\[
3x - 4 = 7
\]

To solve for \( x \):

1. Add 4 to both sides:

\[
3x = 7 + 4
\]

\[
3x = 11
\]

2. Divide both sides by 3:

\[
x = \frac{11}{3}
\]

So, the solution is:

\[
x = \frac{11}{3}
\]

Would you like further explanation or have any other questions?

Here are 5 related questions:
1. How do you find the inverse of a linear function like \( f(x) = 3x - 4 \)?
2. How can you graph \( f(x) = 3x - 4 \) and verify the solution visually?
3. What happens if \( f(x) = -7 \) instead of 7? How does this change the solution for \( x \)?
4. How can you express the solution as a decimal instead of a fraction?
5. How would you solve this equation if it were \( f(x) = ax + b \) for general constants \( a \) and \( b \)?

**Tip**: For linear equations, remember that isolating \( x \) usually involves simple operations like addition, subtraction, and division.

Given f(x) = 3x - 4, find x when f(x) = 7. (Keep your answer as a fraction)

Learn how to solve the linear equation f(x) = 3x - 4 by setting f(x) to 7 and solving for x. This problem covers basic algebra and linear equation solving, suitable for students in Grades 6-8.

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