Let x represent a number.
Then, "the product of a number and 3" can be written in algebraic language as:
![3x](https://img.qammunity.org/2023/formulas/mathematics/high-school/pwecq5qy70calall13bwu39h8vmos5if4b.png)
The phrase "seven more than the product of a number and 3" is equivalent to "seven more than 3x", which can be written as:
![7+3x](https://img.qammunity.org/2023/formulas/mathematics/college/mcjjq5m1mk39sg8qdmarsypn9ue8b5vczs.png)
If that expression is equal to nine, then the whole sentence translates to:
![7+3x=9](https://img.qammunity.org/2023/formulas/mathematics/college/3dl8xno4hcx3yv0eas8xjpmrm3ss83feg7.png)