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[tex]b)~3x-6+4=2\cdot(3x+1)-x\Rightarrow 3x-6+4=6x+2-x\Rightarrow \\\\3x-6x+x=2+6-4\Rightarrow -2x=4\Rightarrow x=-\dfrac{4}{2} \Rightarrow \boxed{x=-2}[/tex]
[tex]d)~6\cdot(x+3)-1=10x+5-8x\Rightarrow 6x+18-1=10x+5-8x\Rightarrow \\\\\Rightarrow 6x-10x+8x=5-18+1\Rightarrow 4x=-12\Rightarrow x=-\dfrac{12}{4} \Rightarrow \boxed{x=-3}[/tex]
[tex]f)~4\cdot(2x+11)-3=5\cdot(x+4)+6\Rightarrow 8x+44-3=5x+20+6\Rightarrow \\\\\Rightarrow 8x-5x=20+6-44+3\Rightarrow 3x=-15\Rightarrow x=-\dfrac{15}{3}\Rightarrow \boxed{x=-5}[/tex]
[tex]h)~14\cdot(x+2)-5=6x+15\Rightarrow 14x+28-5=6x+15\Rightarrow \\\\\Rightarrow 14x-6x=15-28+5\Rightarrow 8x=-8\Rightarrow x=-\dfrac{8}{8}\Rightarrow \boxed{x=-1}[/tex]
[tex]j)~16\cdot(2x-1)-4=12\cdot(3x-2)\Rightarrow 32x-16-4=36x-24\Rightarrow \\\\\Rightarrow 32x-36x=-24+16+4\Rightarrow -4x=-4\Rightarrow x=\dfrac{4}{4}\Rightarrow \boxed{x=1}[/tex]