1) x - 2 1/5 = 5 2/5 2) (x - 3 13/24) + 210/- 24 =7 x c1 3 (x + 2 4/11) - 4 * z/11 = 1 * (5 * c')/71 (4) 3 5/7 + x = 9 1/7

Let's solve each equation one by one.

Problem 1:

Equation: \[ x - 2 \frac{1}{5} = 5 \frac{2}{5} \]

Solution:

1. Convert mixed numbers to improper fractions:

   • \( 2 \frac{1}{5} = \frac{11}{5} \)
   • \( 5 \frac{2}{5} = \frac{27}{5} \)

2. Rewrite the equation: \[ x - \frac{11}{5} = \frac{27}{5} \]

3. Add \( \frac{11}{5} \) to both sides: \[ x = \frac{27}{5} + \frac{11}{5} \] \[ x = \frac{27 + 11}{5} \] \[ x = \frac{38}{5} \] \[ x = 7 \frac{3}{5} \]

Problem 2:

Equation: \[ (x - 3 \frac{13}{24}) + \frac{210}{-24} = 7 \times c_1 \]

Solution:

1. Convert the mixed number to an improper fraction:

   • \( 3 \frac{13}{24} = \frac{72 + 13}{24} = \frac{85}{24} \)

2. Rewrite the equation: \[ (x - \frac{85}{24}) - \frac{210}{24} = 7 \times c_1 \]

3. Combine the constants on the left side: \[ x - \frac{85 + 210}{24} = 7 \times c_1 \] \[ x - \frac{295}{24} = 7c_1 \]

4. Add \( \frac{295}{24} \) to both sides: \[ x = 7c_1 + \frac{295}{24} \]

Problem 3:

Equation: \[ (x + 2 \frac{4}{11}) - \frac{4z}{11} = 1 \cdot \frac{5c'}{71} \]

Solution:

1. Convert the mixed number to an improper fraction:

   • \( 2 \frac{4}{11} = \frac{22 + 4}{11} = \frac{26}{11} \)

2. Rewrite the equation: \[ (x + \frac{26}{11}) - \frac{4z}{11} = \frac{5c'}{71} \]

3. Combine the constants on the left side: \[ x + \frac{26}{11} - \frac{4z}{11} = \frac{5c'}{71} \] \[ x = \frac{5c'}{71} - \frac{26}{11} + \frac{4z}{11} \]

Problem 4:

Equation: \[ 3 \frac{5}{7} + x = 9 \frac{1}{7} \]

Solution:

1. Convert the mixed numbers to improper fractions:

   • \( 3 \frac{5}{7} = \frac{26}{7} \)
   • \( 9 \frac{1}{7} = \frac{64}{7} \)

2. Rewrite the equation: \[ \frac{26}{7} + x = \frac{64}{7} \]

3. Subtract \( \frac{26}{7} \) from both sides: \[ x = \frac{64}{7} - \frac{26}{7} \] \[ x = \frac{64 - 26}{7} \] \[ x = \frac{38}{7} \] \[ x = 5 \frac{3}{7} \]

Summary of Results:

1. \( x = 7 \frac{3}{5} \)
2. \( x = 7c_1 + \frac{295}{24} \)
3. \( x = \frac{5c'}{71} - \frac{26}{11} + \frac{4z}{11} \)
4. \( x = 5 \frac{3}{7} \)

If you need any further clarification or additional problems to solve, feel free to ask!