Question

Solve for x:
* 3x + 12 + x = 48.
* 3x - 12 = 25 + 2x - 2.
* 3 - 6x + 2 = 29.
* x + 1 + 4x = 26.
Answered by GPT-4o mini
Let's solve each equation step by step.

1. **Equation 1:** \( 3x + 12 + x = 48 \)

Combine like terms:
\[
4x + 12 = 48
\]

Subtract 12 from both sides:
\[
4x = 48 - 12
\]
\[
4x = 36
\]

Divide by 4:
\[
x = \frac{36}{4} = 9
\]

2. **Equation 2:** \( 3x - 12 = 25 + 2x - 2 \)

Simplify the right side:
\[
3x - 12 = 25 - 2 = 23 + 2x
\]

Subtract \(2x\) from both sides:
\[
3x - 2x - 12 = 23
\]
\[
x - 12 = 23
\]

Add 12 to both sides:
\[
x = 23 + 12
\]
\[
x = 35
\]

3. **Equation 3:** \( 3 - 6x + 2 = 29 \)

Combine like terms:
\[
5 - 6x = 29
\]

Subtract 5 from both sides:
\[
-6x = 29 - 5
\]
\[
-6x = 24
\]

Divide by -6:
\[
x = \frac{24}{-6} = -4
\]

4. **Equation 4:** \( x + 1 + 4x = 26 \)

Combine like terms:
\[
5x + 1 = 26
\]

Subtract 1 from both sides:
\[
5x = 26 - 1
\]
\[
5x = 25
\]

Divide by 5:
\[
x = \frac{25}{5} = 5
\]

**Final Solutions:**
- From the first equation: \( x = 9 \)
- From the second equation: \( x = 35 \)
- From the third equation: \( x = -4 \)
- From the fourth equation: \( x = 5 \)
Answer
Can you give me just the answers in bullet points?
Answered by GPT-4o mini
Sure! Here are the answers:

- \( x = 9 \)
- \( x = 35 \)
- \( x = -4 \)
- \( x = 5 \)
Answer
Solve the equations below:
* 15c - 12 = 8c + 2.
* 2d + 18 = 12 - 6d - 42.
* 8e - 40 = 6e - 16.
* -6h + 12 = 20 - 4h.
* 10 - 3r = -4r - 10 - 6.
* -10x + 6 = -6x + 10.
* -6n - 12 = -3n + 36.
* 14s - 8s - 48 = 0.

Can you just put the answers in bullet points?
Answered by GPT-4o mini
Of course! Here are the answers:

- \( c = \frac{14}{7} = 2 \)
- \( d = -3 \)
- \( e = 12 \)
- \( h = -4 \)
- \( r = -2 \)
- \( x = 1 \)
- \( n = -12 \)
- \( s = 6 \)
Answer
Can you make it more standard like s = 6?
Answered by GPT-4o mini
Certainly! Here are the answers in a standard format:

- \( c = 2 \)
- \( d = -3 \)
- \( e = 12 \)
- \( h = -4 \)
- \( r = -2 \)
- \( x = 1 \)
- \( n = -12 \)
- \( s = 6 \)
Answer
Divide the United States into four regions: West, Midwest, South, and Northeast. Write in one sentence MAX a characteristic shared by the states within each region. The characteristic can be related to physical or human geography.
Answered by GPT-4o mini
Sure! Here are the characteristics for each region:

- **West:** The West is characterized by diverse landscapes, including mountains, deserts, and Pacific coastlines, along with a significant emphasis on outdoor recreation and environmental preservation.
- **Midwest:** The Midwest is known as the "Heartland" of the U.S., featuring vast agricultural plains and a strong focus on farming and manufacturing industries.
- **South:** The South is characterized by a warm climate, rich cultural heritage, and a history heavily influenced by agriculture, particularly the cultivation of cotton and tobacco.
- **Northeast:** The Northeast is known for its historical significance, dense population centers, and a mix of urban and rural areas with a strong emphasis on finance, education, and technology.
Answer
Can you make that into one sentence?
Answered by GPT-4o mini
Certainly! Here’s a single sentence summarizing the shared characteristics of each U.S. region:

The West is characterized by diverse landscapes and outdoor recreation, the Midwest is known as the agricultural "Heartland" with vast plains, the South features a warm climate and a rich cultural heritage rooted in agriculture, and the Northeast is recognized for its historical significance and urban centers emphasizing finance and education.