Nilai mutlak 2 | × | – | × – 1| + 3 | × + 1 | > 1 please help me

2x + x + 1 + 3x + 3 > 1
6x > -3
x > -3/6
x > -1/2
tolong  dibantu koreksi apabila salah

| × | – | × – 1| + 3 | × + 1 | > 1
x-|x-1| + 3|x+1| >1
3|x+1| – |x-1| >1-x
(3|x+1|  – |x-1|)² >(1-x)²
9x²+18x+9 – x²-2x-1 >(1-x)²
8x²+16x+8 > 1²-x²-2x
8x²+16x+8 - 1² + x² + 2x >0
8x²+16x+8 – 1 + x² + 2x >0
9x² + 18x - 7 > 0
(3x+7)(3x-1) >0
batas x=-7/3
         x=1/3