I can see the image you’ve uploaded with a set of linear equations. I’ll solve each problem step-by-step for clarity. Let's begin with each numbered equation:

Problem (9):

$2x - 11 - x = 22$ Simplify: $x - 11 = 22$ Add 11 to both sides: $x = 33$

Problem (7):

$-10x - 40 + 6x = 28$ Simplify: $-4x - 40 = 28$ Add 40 to both sides: $-4x = 68$ Divide by -4: $x = -17$

Problem (5):

$-14x + 2x - 85 = 179$ Simplify: $-12x - 85 = 179$ Add 85 to both sides: $-12x = 264$ Divide by -12: $x = -22$

Problem (11):

$-142 - 9x + 2x = 75$ Simplify: $-142 - 7x = 75$ Add 142 to both sides: $-7x = 217$ Divide by -7: $x = -31$

Problem (12):

$2x + 3x - 61 = 19$ Simplify: $5x - 61 = 19$ Add 61 to both sides: $5x = 80$ Divide by 5: $x = 16$

Problem (10):

$4x - 106 - 13x = 164$ Simplify: $-9x - 106 = 164$ Add 106 to both sides: $-9x = 270$ Divide by -9: $x = -30$

Problem (8):

$-103 - x + 11x = 207$ Simplify: $-103 + 10x = 207$ Add 103 to both sides: $10x = 310$ Divide by 10: $x = 31$

Would you like detailed steps or verification for any specific equation?

Related Questions:

1. What are the common techniques for solving linear equations?
2. How do you handle equations with multiple variables?
3. Can linear equations model real-world scenarios?
4. What is the difference between consistent and inconsistent equations?
5. How can we verify solutions to linear equations?

Tip: Always simplify equations as much as possible before solving to reduce errors!