Given:
The equation is:
![x(4+5)=54](https://img.qammunity.org/2022/formulas/mathematics/high-school/rau7kcs9j7mkq94xs3qp0q8ie6uf3xpja2.png)
To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then
![a(b+c)=ab+ac](https://img.qammunity.org/2022/formulas/mathematics/high-school/62nyhk3xusdq4gpxj7shups73pxykegiqb.png)
We have,
![x(4+5)=54](https://img.qammunity.org/2022/formulas/mathematics/high-school/rau7kcs9j7mkq94xs3qp0q8ie6uf3xpja2.png)
Using the distributive property, we get
![x(4)+x(5)=54](https://img.qammunity.org/2022/formulas/mathematics/high-school/fkh4ob6u57kay8dypkb5qwg2t8sku7jlq6.png)
It can be written as:
![4x+5x=54](https://img.qammunity.org/2022/formulas/mathematics/high-school/vzto2kxhk6trx0shfnzfnewhm8ud20e28w.png)
Therefore, the next step of the simplification is
.