How do you simplify #8x-6+x-1#?
It is 9x-7.
The rule is that the numbers goes with numbers and the letters goes with the letters. So first of all you can reorder them as
So it is
9x - 7
#color(blue)"collecting like terms"#
#color(blue)"like terms"" are terms which have the same variable (letter) in them"#
Example: 6x and 4x are like terms as they both have an x in them.
To collect them (simplify) we add/subtract their
#color(red)"coefficients"#the numbers in front of them.
so 6x + 4x = 10x and 6x - 4x = 2x
Note that 4x and
#2x^2#are NOT like terms
#x^2" means " x xx x#which is not the same as just x itself.
Using this on the question.
8x - 6 + x - 1 = 8x + x - 6 -1 = 9x - 7
Note the coefficient of x is 1, that is x = 1x