For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as:
![x-10](https://img.qammunity.org/2020/formulas/mathematics/high-school/c1z26negwqkdkoz5feze4uyk30fv2rx6bf.png)
Then, the complete expression is represented as:
![x-10 = -45](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fslz1x5kfrmm1yaw51h6xj7om0b7681rju.png)
Adding 10 to both sides of the equation:
![x = -45 + 10\\x = -35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rv5fpppty62dtehyq2hsmu6xdsospzogek.png)
Thus, the value of the variable is
![x = -35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v1tqwhzj7f1uwncshn31mjmi2v0x578zwb.png)
Answer:
![x = -35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v1tqwhzj7f1uwncshn31mjmi2v0x578zwb.png)