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What is the solution for *x* in the equation?

10*x* − 4.5 + 3*x* = 12*x* − 1.1

 *x* = 


To solve the equation:

\[
10x - 4.5 + 3x = 12x - 1.1
\]

we can follow these steps:

1. Combine like terms on the left side:
   \[
   10x + 3x - 4.5 = 12x - 1.1
   \]
   \[
   13x - 4.5 = 12x - 1.1
   \]

2. Subtract \(12x\) from both sides:
   \[
   13x - 12x - 4.5 = -1.1
   \]
   \[
   x - 4.5 = -1.1
   \]

3. Add \(4.5\) to both sides:
   \[
   x = -1.1 + 4.5
   \]
   \[
   x = 3.4
   \]

So, the solution is:

\[
x = 3.4
\]

Would you like any further details or explanations?

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Here are 5 relative questions to expand on this concept:

1. How can you check if \( x = 3.4 \) is the correct solution?
2. What steps should you take if you encounter fractions in an equation?
3. How would the solution change if the constants on both sides were different?
4. What would the equation look like if it had a negative \( x \) term on one side?
5. How can this method be applied to solve equations with more than one variable?

**Tip:** Always remember to isolate the variable on one side of the equation to simplify solving it.

Learn how to solve the equation 10x - 4.5 + 3x = 12x - 1.1 step-by-step with detailed explanations. Understand combining like terms and isolating the variable to find the solution. Suitable for students in Grades 7-9.

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