https://file.aiquickdraw.com/mathbot/file/1726195906905wl6603z3.jpg

The image shows three math problems labeled **Mild**, **Medium**, and **Hot**. Let's solve each one step-by-step:

### Mild Problem:
\[
a - 2 + 3 = -2
\]
Step 1: Simplify the left-hand side:
\[
a + 1 = -2
\]
Step 2: Subtract 1 from both sides:
\[
a = -3
\]

### Medium Problem:
\[
5.5a - 2 + 4.5a = 3
\]
Step 1: Combine like terms on the left-hand side:
\[
(5.5a + 4.5a) - 2 = 3 \quad \Rightarrow \quad 10a - 2 = 3
\]
Step 2: Add 2 to both sides:
\[
10a = 5
\]
Step 3: Divide both sides by 10:
\[
a = \frac{5}{10} = 0.5
\]

### Hot Problem:
You are asked to create your own problem with the constraint that the solution is \( x = 4 \) and it must involve combining like terms (CLT). An example could be:
\[
3x + 2x - 5 = 15
\]
Step 1: Simplify the left-hand side:
\[
5x - 5 = 15
\]
Step 2: Add 5 to both sides:
\[
5x = 20
\]
Step 3: Divide both sides by 5:
\[
x = 4
\]

Would you like more details on any of these steps or additional practice problems?

Here are 5 related questions to deepen your understanding:
1. How do you combine like terms in algebraic equations?
2. What are the steps to solve an equation with variables on both sides?
3. How do you check the solution to an algebraic equation?
4. How do you create your own equations involving CLT and a specific solution?
5. Can you solve an equation with decimals in a different way, using fractions?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies all terms.

Solve the algebra problems labeled as Mild, Medium, and Hot from the provided worksheet. The 'Mild' problem is a - 2 + 3 = -2, the 'Medium' problem is 5.5a - 2 + 4.5a = 3, and the 'Hot' problem asks to create a custom problem with the condition that x = 4.

Learn how to solve linear equations involving combining like terms with step-by-step solutions. Problems include a - 2 + 3 = -2 and 5.5a - 2 + 4.5a = 3, as well as creating a custom equation with x = 4. Suitable for students in Grades 6-8.

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