Let's solve the equation step by step:

Given:
\[
1.1x + 1.2x - 5.4 = -10
\]

### Step 1: Combine like terms
Combine \(1.1x\) and \(1.2x\):

\[
(1.1 + 1.2)x - 5.4 = -10
\]
\[
2.3x - 5.4 = -10
\]

### Step 2: Add 5.4 to both sides
To isolate the \(x\) term, add 5.4 to both sides:

\[
2.3x = -10 + 5.4
\]
\[
2.3x = -4.6
\]

### Step 3: Solve for \(x\)
Now, divide both sides by 2.3 to get \(x\):

\[
x = \frac{-4.6}{2.3}
\]
\[
x = -2
\]

So, the solution is:
\[
x = -2
\]

Would you like more details, or have any questions?

Here are 5 related questions:
1. What is the process of solving equations with multiple terms?
2. How do you simplify equations involving decimals?
3. What are like terms in an algebraic expression?
4. Can we use this method for equations with fractions?
5. How can we verify the solution to this equation?

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

Learn how to solve the linear equation 1.1x + 1.2x - 5.4 = -10 with a step-by-step solution. This problem covers essential algebraic concepts, including combining like terms and solving for variables. Suitable for students in Grades 6-8.

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