Fully simplify the expression below.
\[
6 x+5 y+3 x+7-5 y
\]
\(\boxed{9x + 7}\) is the simplified expression.
Step 1 :The given expression is \(6x + 5y + 3x + 7 - 5y\).
Step 2 :In algebra, like terms are terms that contain the same variables raised to the same power. In this case, the like terms are \(6x\) and \(3x\), and \(5y\) and \(-5y\).
Step 3 :We can combine these like terms by adding or subtracting them. The constant term \(7\) does not have any like terms, so it will remain as it is.
Step 4 :Combining the like terms, we get \(9x + 7\).
Step 5 :\(\boxed{9x + 7}\) is the simplified expression.