1) To solve 18(x+14)=378, first distribute the 18 on the left side of the equation:
18x + 252 = 378
Subtract 252 from both sides:
18x = 126
Divide by 18 on both sides:
x = 7

2) To solve 16(4x-26)=224, first distribute the 16 on the left side of the equation:
64x - 416 = 224
Add 416 to both sides:
64x = 640
Divide by 64 on both sides:
x = 10

3) To solve 9(152-7x)=927, first distribute the 9 on the left side of the equation:
1368 - 63x = 927
Subtract 1368 from both sides:
-63x = -441
Divide by -63 on both sides:
x = 7

Therefore, the solutions are:
x = 7, 10, 7