Let's solve each equation step by step:

1) 86 - (x + 27) = 44
First, let's simplify the equation by removing the parentheses:
86 - x - 27 = 44
Combine like terms:
59 - x = 44
Now, let's isolate the variable by subtracting 59 from both sides:
59 - 59 - x = 44 - 59
-x = -15
Finally, let's solve for x by multiplying both sides by -1:
(-1)(-x) = (-1)(-15)
x = 15

2) (27 - x) + 53 = 19
First, let's simplify the equation by removing the parentheses:
27 - x + 53 = 19
Combine like terms:
80 - x = 19
Now, let's isolate the variable by subtracting 80 from both sides:
80 - 80 - x = 19 - 80
-x = -61
Finally, let's solve for x by multiplying both sides by -1:
(-1)(-x) = (-1)(-61)
x = 61

3) -(x - 84) - (-28 - 93) = (-26) + 39
First, let's simplify the equation by removing the parentheses:
-1(x - 84) + 28 + 93 = -26 + 39
Distribute the -1:
-x + 84 + 28 + 93 = -26 + 39
Combine like terms:
205 - x = 13
Now, let's isolate the variable by subtracting 205 from both sides:
205 - 205 - x = 13 - 205
-x = -192
Finally, let's solve for x by multiplying both sides by -1:
(-1)(-x) = (-1)(-192)
x = 192

4) -19 - (37 - x) + 18 = 19 + (-83)
First, let's simplify the equation by removing the parentheses:
-19 - 37 + x + 18 = 19 - 83
Combine like terms:
-56 + x + 18 = -64
Now, let's isolate the variable by subtracting 18 from both sides:
-56 + x + 18 - 18 = -64 - 18
x - 38 = -82
Now, let's isolate the variable by adding 38 to both sides:
x - 38 + 38 = -82 + 38
x = -44

Therefore, the solutions to the given equations are:
x = 15, 61, 192, -44