1.
a) 2x + 5 = 34
Solving for x:
2x = 34 - 5
2x = 29
x = 29/2
x = 14.5

b) (3x - 24) * 73 = 2.74
Solving for x:
3x - 24 = 2.74/73
3x - 24 = 0.037534
3x = 24 + 0.037534
3x = 24.037534
x = 24.037534/3
x = 8.012511333

c) [3 * (42 - x) + 15] = 23 * 3
Simplifying the equation:
[126 - 3x + 15] = 69
-3x + 141 = 69
-3x = 69 - 141
-3x = -72
x = -72/-3
x = 24

d) 126 + (132 - x) = 300
Simplifying the equation:
258 - x = 300
-x = 300 - 258
-x = 42
x = -42

2.
a) 120 - (x + 55) = 60
Solving for x:
120 - x - 55 = 60
- x - 55 = 60 - 120
- x - 55 = -60
- x = -60 + 55
- x = -5
x = -(-5)
x = 5

b) (7x - 11) * 3 = 25 * 52 + 200
Simplifying the equation:
21x - 33 = 1300 + 200
21x - 33 = 1500
21x = 1500 + 33
21x = 1533
x = 1533/21
x = 73

c) 2x + 2x + 4 = 544
Simplifying the equation:
4x + 4 = 544
4x = 544 - 4
4x = 540
x = 540/4
x = 135

3.
a) 10 + 2x = 49 : 47
Simplifying the equation:
10 + 2x = 1
2x = 1 - 10
2x = -9
x = -9/2
x = -4.5

b) 70 - 5(x - 3) = 45
Simplifying the equation:
70 - 5x + 15 = 45
-5x + 85 = 45
-5x = 45 - 85
-5x = -40
x = -40/-5
x = 8

c) 4 + 95 : x = 143 : 142 - 23
Simplifying the equation:
4 + 95/x = 143/142 - 23
4 + 95/x = 143/142 - 23/1
4 + 95/x = (143 - 23*142)/142
4 + 95/x = (143 - 3256)/142
4 + 95/x = -3113/142
95/x = -3113/142 - 4
95/x = (-3113 - 4*142)/142
95/x = (-3113 - 568)/142
95/x = -3681/142
95x = -3681*142
x = (-3681*142)/95
x = -5526.168421052631