Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11x–12+13=
–
10
11x+1=
–
10 Combine like terms
11x= ___ Subtract 1 from both sides
x= ____ Divide both sides by 11

Answer 1

Let's go step by step to solve the equation \( 11x - 12 + 13 = -10 \) and fill in the missing terms and descriptions.

**Step 1: Combine like terms**
- The left side of the equation has \( -12 \) and \( +13 \).
- Combining these gives:
\[
-12 + 13 = 1
\]
- Therefore, we can rewrite the equation as:
\[
11x + 1 = -10
\]

**Step 2: Subtract 1 from both sides**
- Now, we will isolate the term with \( x \) by subtracting \( 1 \) from both sides:
\[
11x = -10 - 1
\]
- Simplifying the right side:
\[
-10 - 1 = -11
\]
- So we have:
\[
11x = -11
\]

**Step 3: Divide both sides by 11**
- Next, we divide both sides by \( 11 \):
\[
x = \frac{-11}{11}
\]
- Simplifying the fraction gives:
\[
x = -1
\]

**Final results:**
1. Combine like terms gives us \( 11x + 1 = -10 \).
2. Subtracting \( 1 \) from both sides gives us \( 11x = -11 \).
3. Dividing both sides by \( 11 \) gives us \( x = -1 \).

**Summary of filled terms:**
- **Combine like terms:** \( 11x + 1 = -10 \)
- **Subtract 1 from both sides:** \( 11x = -11 \)
- **Divide both sides by 11:** \( x = -1 \)

So the final solutions to fill in the blanks are:
1. **First Blank:** \( 11x + 1 \)
2. **Second Blank:** \( -11 \)
3. **Third Blank:** \( -1 \)