Simplify the following expressions by combining like terms

6x + 5 - 7y + 8x - 8

What is the constant for the variable x after simplification

To simplify the expression \(6x + 5 - 7y + 8x - 8\), we need to combine like terms. Like terms are terms that have the same variable raised to the same power.

### Step 1: Group like terms
1. **Terms with \(x\):** \(6x\) and \(8x\)
2. **Constant terms:** \(5\) and \(-8\)
3. **Terms with \(y\):** \(-7y\)

### Step 2: Combine like terms
1. **Combine \(x\) terms:** 
   \[
   6x + 8x = 14x
   \]
2. **Combine constant terms:**
   \[
   5 - 8 = -3
   \]
3. **The term with \(y\) stays the same:** \(-7y\)

### Final Expression
Combining all the simplified terms, we get:
\[
14x - 7y - 3
\]

Therefore, the constant for the variable \(x\) after simplification is **14**.

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Would you like more details, or do you have any questions? Here are some related questions you might find interesting:

1. How do you combine like terms with different coefficients?
2. What is the difference between coefficients and constants?
3. How do you simplify expressions with multiple variables?
4. What is the process to factor an algebraic expression?
5. How do you distribute and combine terms in expressions with parentheses?
6. How do you identify like terms in an expression?
7. Can like terms include different powers of the same variable?
8. What are the steps to simplify expressions with fractions?

**Tip:** Always look for like terms in an expression and simplify them first for easier calculation.

Learn how to simplify expressions by combining like terms with a detailed step-by-step solution. This problem covers algebraic concepts related to combining like terms and includes examples like 6x + 5 - 7y + 8x - 8. Suitable for students in Grades 7-9.

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