3x + 1
Explanations:The given expression is:
[tex]\frac{12x\text{ - 6x + 2}}{2}[/tex]Since 12x - 6x = 6x, the expression then becomes:
[tex]\frac{6x\text{ + 2}}{2}[/tex]Factor out 2 from the numerator
[tex]\frac{2(3x\text{ + 1)}}{2}[/tex]2 cancels out at both the numerator and denominator
The final expression becomes 3x + 1