Expand.
\[6{x}^{2}+12x+6+2{x}^{3}+2{x}^{2}+2x-2{x}^{2}-2x-2-2x({x}^{2}+2x+1)-2({x}^{2}+2x+1)=32\]
Simplify \(6{x}^{2}+12x+6+2{x}^{3}+2{x}^{2}+2x-2{x}^{2}-2x-2-2x({x}^{2}+2x+1)-2({x}^{2}+2x+1)\) to \(6{x}^{2}+12x+4+2{x}^{3}-2x({x}^{2}+2x+1)-2({x}^{2}+2x+1)\).
\[6{x}^{2}+12x+4+2{x}^{3}-2x({x}^{2}+2x+1)-2({x}^{2}+2x+1)=32\]
Expand.
\[6{x}^{2}+12x+4+2{x}^{3}-2{x}^{3}-4{x}^{2}-2x-2{x}^{2}-4x-2=32\]
Simplify \(6{x}^{2}+12x+4+2{x}^{3}-2{x}^{3}-4{x}^{2}-2x-2{x}^{2}-4x-2\) to \(6x+2\).
\[6x+2=32\]
Subtract \(2\) from both sides.
\[6x=32-2\]
Simplify \(32-2\) to \(30\).
\[6x=30\]
Divide both sides by \(6\).
\[x=\frac{30}{6}\]
Simplify \(\frac{30}{6}\) to \(5\).
\[x=5\]
x=5
