The first exercise in the topic of **Linear Equations in One Variable** usually involves solving equations of the form:

\[ ax + b = c \]

where \( a, b, \) and \( c \) are constants, and \( x \) is the variable to be solved.

Here’s a breakdown of how to solve such equations:

### General Steps:

1. **Simplify both sides** (if needed): Remove any parentheses and combine like terms on each side.

2. **Isolate the variable (x)**: Use addition, subtraction, multiplication, or division to move terms to the appropriate side.

3. **Solve for \( x \)**: Simplify the equation to find the value of \( x \).

4. **Verify your solution**: Substitute \( x \) back into the original equation to ensure it satisfies the equation.

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### Examples:

1. Solve:

\[ 2x + 5 = 15 \]

**Solution**:

- Subtract 5 from both sides:

\[ 2x = 10 \]

- Divide by 2:

\[ x = 5 \]

2. Solve:

\[ 3x - 7 = 2 \]

**Solution**:

- Add 7 to both sides:

\[ 3x = 9 \]

- Divide by 3:

\[ x = 3 \]