Answer:
![{ \tt{0.5 - 3( - 2x - (1)/(3) + 4 + 8x) }}](https://img.qammunity.org/2023/formulas/mathematics/college/vz6ainahkwoyxdphmtpw8ucohomi8o21js.png)
» First solve the bracket by simplification rule. Arrange x terms together and constants together.
![{ \tt{ \dashrightarrow \: 0.5 - 3{ \huge \{}( - 2x + 8x) + (4 - (1)/(3) ){ \huge{ \}}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/9m50fmyegb8pvyihxf4ww46oin1poxb5l2.png)
» Then solve the sub brackets in the parent bracket:
![\dashrightarrow \: { \tt{0.5 - 3(6x + (11)/(3) )}}](https://img.qammunity.org/2023/formulas/mathematics/college/v22u0f4069mrwpjdbaj4rofxp75wit72gf.png)
» Open the bracket following distributive property [ Multiply -3 to each constant in the bracket ]
![\dashrightarrow \: { \tt{0.5 - 18x - 11}}](https://img.qammunity.org/2023/formulas/mathematics/college/9xij4orjpyxltpriztz8xeaii2mp6lcm1w.png)
» Then simplify:
![{ \tt{ \dashrightarrow \: - (21)/(2) - 18x}} \\](https://img.qammunity.org/2023/formulas/mathematics/college/fsi0jf79y96u6xvk5c418hc3cnn15l1ugp.png)