The given algebraic expression is
![(12x-2.1)-(19x+6.9)](https://img.qammunity.org/2023/formulas/mathematics/college/o7ogo4cg2k2px7qrm9xxkajjlnsuqug54r.png)
To simplify this expression, we need to solve those parentheses in the first place, multiplying the sign in front of each of them.
![12x-2.1-19x-6.9](https://img.qammunity.org/2023/formulas/mathematics/college/1px54srmyy1dwjqb0gbzmma65vn9izx8pl.png)
Now, we reduce like terms. Remember that like terms are those who have the same variable, and those who don't have variables at all.
![12x-19x-2.1-6.9=-7x-9](https://img.qammunity.org/2023/formulas/mathematics/college/l3sg75grrhynq9ooz1lyi6yitlk1tb2hwp.png)
Therefore, the simplest form of the given expression is
![-7x-9](https://img.qammunity.org/2023/formulas/mathematics/college/z8ib5vhzq1f6w7xvaxhx5lhtgebyqnsrhl.png)