To simplify the expression 2x + 6y + 3x + 2 + 7y + 14x, we need to combine like terms. Like terms are terms that contain the same variable raised to the same power.
The first step is to identify and group similar terms:
- For the terms with x: 2x, 3x, and 14x
- For the terms with y: 6y and 7y
- We also have a constant term: 2
Next, we add the coefficients of the like terms:
- Adding the x terms: 2x + 3x + 14x = 19x
- Adding the y terms: 6y + 7y = 13y
Now, we can rewrite the expression by combining these results along with the constant:
19x + 13y + 2
Thus, the simplified form of the given expression is 19x + 13y + 2.