a: \(3-\left(17-x\right)=289-\left(36+289\right)\)
=>3-17+x=289-36-289
=>x-14=-36
=>x=-36+14
=>x=-22
b: 25+(x-5)=-415-(15-415)
=>25+x-5=-415-15+415
=>x+20=-15
=>x=-15-20
=>x=-35
c: (-x)+(-62)+(-46)=-14
=>x+62+46=14
=>x+108=14
=>x=14-108
=>x=-94
d: 484+x=-632+(-548)
=>x+484=-632-548=-1180
=>x=-1180-484=-1664
e: 17-{-x+[-x-(-x)]}=-16
=>17-{-x+[-x+x]}=-16
=>17+x=-16
=>x=-16-17
=>x=-33
f: \(x-\left\lbrace\left\lbrack-x+\left(x+3\right)\right\rbrack-\left\lbrack\left(x+3\right)-\left(x-2\right)\right\rbrack\right\rbrace=0\)
=>x-{-x+x+3-(x+3-x+2)}=0
=>x-[3-5]=0
=>x-(-2)=0
=>x+2=0
=>x=-2
