Let's solve the equation step by step.

The given equation is:

\[
18 = 6x + 1 - 3x
\]

### Step 1: Combine like terms on the right side of the equation.

Combine \(6x\) and \(-3x\):

\[
18 = (6x - 3x) + 1
\]

\[
18 = 3x + 1
\]

### Step 2: Isolate the variable term.

Subtract 1 from both sides to isolate the term with \(x\):

\[
18 - 1 = 3x
\]

\[
17 = 3x
\]

### Step 3: Solve for \(x\).

Divide both sides by 3 to solve for \(x\):

\[
x = \frac{17}{3}
\]

So, the solution is:

\[
x = \frac{17}{3} \quad \text{or approximately} \quad x \approx 5.67
\]

Would you like more details or have any questions? Here are some related questions:

1. How do you combine like terms in an equation?
2. What is the general process for solving linear equations?
3. How can you check if your solution to an equation is correct?
4. How do you convert a fraction to a decimal?
5. What are the different methods for solving linear equations?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation 18 = 6x + 1 - 3x with a detailed step-by-step solution. This problem covers key algebraic concepts such as solving linear equations and combining like terms. Suitable for students in Grades 7-9.

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