!<Answer>!
To simplify the expression, let's start by distributing the negative three-fourths and the negative one-eighth.
The expression is:
(-3/4)x - 9 - (-15 + 1/8)x
First, let's simplify the negative one-eighth:
(-3/4)x - 9 - (-15 + 1/8)x
(-3/4)x - 9 + (15 - 1/8)x
Now, let's simplify the expression by combining like terms:
(-3/4)x + (15 - 1/8)x - 9
((-3/4) + (15 - 1/8))x - 9
((-3/4) + (120/8 - 1/8))x - 9
((-3/4) + (119/8))x - 9
((-3/4) + (119/8))x - 9
Now, let's find a common denominator for the fractions:
((-6/8) + (119/8))x - 9
(113/8)x - 9
So, the simplified expression is (113/8)x - 9.
~ Sun