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I see that you've uploaded a math problem set. Let’s go through each of these problems one by one and solve them:

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**1) Solve: \( 3x - 12x - 4x + x \)**

Simplify the expression:

\[
3x - 12x - 4x + x = (3 - 12 - 4 + 1)x = -12x
\]

So, the solution is:

\[
-12x
\]

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**2) Solve: \( \frac{x}{-7} = -8 \)**

To isolate \( x \), multiply both sides by \( -7 \):

\[
x = -8 \times (-7) = 56
\]

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**3) Solve: \( \frac{4}{x} = 12 \)**

Multiply both sides by \( x \):

\[
4 = 12x
\]

Now divide by 12:

\[
x = \frac{4}{12} = \frac{1}{3}
\]

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**4) Solve: \( \frac{1}{2}x + \frac{3}{5}x = 18 \)**

Find a common denominator for the fractions. The common denominator of 2 and 5 is 10. Rewrite the equation:

\[
\frac{5}{10}x + \frac{6}{10}x = 18
\]

Now combine the terms:

\[
\frac{11}{10}x = 18
\]

Multiply both sides by 10:

\[
11x = 180
\]

Now divide by 11:

\[
x = \frac{180}{11} \approx 16.36
\]

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Would you like further details on any of the steps, or have questions about any of the solutions?

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Here are 5 related questions to consider for more practice:

1. Solve \( 5x - 3x + 7x - x \).
2. Solve \( \frac{y}{-9} = 6 \).
3. Solve \( \frac{5}{x} = 15 \).
4. Solve \( \frac{2}{3}y + \frac{5}{6}y = 20 \).
5. What is the value of \( x \) in the equation \( 7x - 14 = 0 \)?

**Tip:** When working with equations that involve fractions, finding a common denominator can help simplify your work!

1) 3x - 12x - 4x + x
2) x / -7 = -8
3) 4 / x = 12
4) 1/2x + 3/5x = 18

Learn how to simplify algebraic expressions and solve linear equations with fractions. This problem set covers algebraic concepts such as simplifying terms and solving equations with fractions, suitable for Grades 7-9.

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