Let's solve the equation:

\[
3x + 18 = 3.5x - 4
\]

### Step 1: Move all the \(x\)-terms to one side.
Subtract \(3x\) from both sides:

\[
18 = 0.5x - 4
\]

### Step 2: Move the constant terms to the other side.
Add \(4\) to both sides:

\[
22 = 0.5x
\]

### Step 3: Solve for \(x\).
Divide both sides by \(0.5\):

\[
x = \frac{22}{0.5} = 44
\]

So, the solution is \(x = 44\).

Would you like further details or have any questions?

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Here are 5 related questions:
1. What happens if the equation had decimals or fractions?
2. How would you solve if \(3.5x\) was replaced by another expression like \(3x + 5\)?
3. What is the process for solving an equation with parentheses, such as \(2(3x + 1) = 3.5x - 4\)?
4. How can you check if your solution is correct?
5. What is the difference between solving linear and quadratic equations?

**Tip:** When dealing with decimals, multiplying both sides by 10 can simplify the equation and eliminate the decimal points.

Learn how to solve the linear equation 3x + 18 = 3.5x - 4 through a clear step-by-step guide. This problem involves moving terms, isolating the variable, and solving for x. Suitable for students in Grades 7-8 looking to strengthen their algebra skills.

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