To solve the equations:

1022 - (34x - 5895) = 15
First, simplify the equation by distributing the negative sign within the parentheses:
1022 + 5895 - 34x = 15
6917 - 34x = 15
Now, isolate the variable x by subtracting 6917 from both sides:
-34x = 15 - 6917
-34x = -6902
x = -6902 / -34
x = 203

(X + 296) • 84 = 9758 + 16114
First, distribute the 84 on the left side of the equation:
84x + 84(296) = 9758 + 16114
84x + 24864 = 25872
Now, isolate the variable x by subtracting 24864 from both sides:
84x = 25872 - 24864
84x = 1008
x = 1008 / 84
x = 12

1971:x - 439 = (234 • 109) / 117
First, simplify the right side of the equation:
(234 • 109) / 117 = 21846 / 117 = 187
Now, substitute this value back into the equation:
1971/x - 439 = 187
1971/x = 626
Cross multiply to solve for x:
1971 = 626x
x = 1971 / 626
x = 3

Therefore, the solutions to the equations are: