To find the equivalent expression for [tex]\( 7x + 35 \)[/tex], you can follow these steps:
1. Identify the common factor: Look at both terms in the expression [tex]\( 7x + 35 \)[/tex]. Notice that both terms have a common factor of 7.
2. Factor out the common factor: Once you identify the common factor (which is 7), you can rewrite the expression by factoring out this common factor. This means you divide each term by 7 and place the common factor outside of parentheses.
- Divide [tex]\( 7x \)[/tex] by 7 to get [tex]\( x \)[/tex].
- Divide 35 by 7 to get 5.
Now, you can rewrite the initial expression as [tex]\( 7(x + 5) \)[/tex].
So, the equivalent expression for [tex]\( 7x + 35 \)[/tex] is [tex]\( 7(x + 5) \)[/tex].
