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1-x < 2 +7x
-x-7x < 2-1
-8x < 1
8x > -1
x > -1/8
-1 < 8x
-1/8 < x
2. 2x - 1 < 5x
-1 < 3x
-1/3 < x
3. x/3 + 1/2 < x/4 + 5/6
x/3 - x/4 < 5/6 - 1/2
4x-3x/12 < 15-3/6
x/12 < 12/6
x/12 < 2
x < 24