[tex]\large{\bf Step-by-step~explanation:}[/tex]
To simplify this expression, we combine all the like terms. We cannot solve for x because there is no equal sign and/or no value for x.
Equation: (10x² - 10x - 6) + (x + 6)
[tex]\bf Step~1:[/tex]
-10x and x are like terms. Remember: there is an invisible 1 behind the variable x. We add these like normal numbers.
[tex]\bf -10x+1x=-9x[/tex]
[tex]\bf Step~2:[/tex]
-6 and 6 are also like terms. Again, we add them as written.
[tex]\bf -6+6=0[/tex]
Since our answer is 0, we do not have to write it in our simplified expression.
[tex]\bf Step~3:[/tex]
Now, let's add the terms together. Since 10x² doesn't have any like terms, we just let it be. We take our previous number, -9x, and we add it to 10x².
[tex]\bf 10x^2+-9x[/tex]
[tex]\large\boxed{\bf Our~final~answer:10x^2-9x}[/tex]
