If your builder has put the hole in the wrong place he should rectify the problem. I think the bonding may take some work (time) to correct and that is probably why he has said it can not be corrected. If you want a neat cut in brickwork you should use a diamond tipped cutting blade. If the new opening was cut by lump hammer and bolster it will likely be a bit ragged. I'd ask a local bricklayer to take a look and ask him how much he would charge to correct the work. Then go back to the original builder and say if you don't correct your error I will employ a bricklayer to and deduct it from your bill.
It is not your fault the hole is in the wrong place so why put up with it if you are paying someone to do the job?
DIY how to tutorial projects and guides - Did you know we have a DIY Projects section? Well, if no, then we certainly do! Within this area of our site have literally hundreds of how-to guides and tutorials that cover a huge range of home improvement tasks. Each page also comes with pictures and a video to make completing those jobs even easier!