Here are the three algebraic equations from the image. I will solve each equation step by step:

13) $5x - 2(0.1x - 1) = 7.2 - 4.4(-x - 6)$

Step 1: Expand both sides

• $5x - 2(0.1x - 1) = 7.2 - 4.4(-x - 6)$
• Distribute:
  $5x - 0.2x + 2 = 7.2 + 4.4x + 26.4$

Step 2: Simplify both sides

• Left-hand side: $5x - 0.2x + 2 = 4.8x + 2$
• Right-hand side: $7.2 + 26.4 + 4.4x = 33.6 + 4.4x$

So the equation simplifies to:
$4.8x + 2 = 33.6 + 4.4x$

Step 3: Combine like terms

• Subtract $4.4x$ from both sides:
  $4.8x - 4.4x + 2 = 33.6$ $0.4x + 2 = 33.6$

• Subtract 2 from both sides:
  $0.4x = 31.6$

Step 4: Solve for $x$

• Divide by $0.4$:
  $x = \frac{31.6}{0.4} = 79$

Solution for (13): $x = 79$

14) $7x + 2(-9x + 3) = x - (-4x + 6)$

Step 1: Expand both sides

• $7x + 2(-9x + 3) = x - (-4x + 6)$
• Distribute:
  $7x - 18x + 6 = x + 4x - 6$

Step 2: Simplify both sides

• Left-hand side: $7x - 18x + 6 = -11x + 6$
• Right-hand side: $x + 4x - 6 = 5x - 6$

So the equation becomes:
$-11x + 6 = 5x - 6$

Step 3: Combine like terms

• Add $11x$ to both sides:
  $6 = 16x - 6$

• Add 6 to both sides:
  $12 = 16x$

Step 4: Solve for $x$

• Divide by 16:
  $x = \frac{12}{16} = \frac{3}{4}$

Solution for (14): $x = \frac{3}{4}$

15) $-3\left(\frac{1}{4}x - \frac{5}{3}\right) - x = -\left(4x - \frac{1}{2}\right) + 4x$

Step 1: Expand both sides

• Left-hand side:
  $-3\left(\frac{1}{4}x - \frac{5}{3}\right) = -\frac{3}{4}x + 5$
  So:
  $-\frac{3}{4}x + 5 - x = -\frac{3}{4}x - \frac{4}{4}x + 5 = -\frac{7}{4}x + 5$

• Right-hand side: