Answer: Third option.
Step-by-step explanation:
To solve this exercise it is important to remember the following:
1) By definition, equivalent expression have the same value, but they look different.
2) The multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Then, given the following expression provided in the exercise:
[tex]=(8.4x+2.9)+(-3.7x+5)[/tex]
You need to distribute the postive sign:
[tex]8.4x+2.9-3.7x+5[/tex]
And finally, you must add the like terms:
[tex]=8.4x-3.7x+2.9+5=4.7x+7.9[/tex]
As you can notice, the expression obtained matches with the expression shown in the third option.
