Final answer:
To simplify the expression (-5x-2/3) + (-4x - 1/9), combine like terms to get -9x for the variable terms and -7/9 for the constant terms, resulting in the simplified expression -9x - 7/9.
Step-by-step explanation:
The question asks us to combine two algebraic expressions: (-5x-2/3) and (-4x - 1/9). To simplify this expression, we combine like terms. The like terms here are those that contain the variable x and the constant terms (the numbers).
First, combine the x terms:
Next, combine the constant terms:
- -2/3 + (-1/9)
- To add these, find a common denominator, which is 9.
- The equivalent fractions will be -6/9 + (-1/9), which equals -7/9.
Putting it all together, the simplified expression is -9x - 7/9.