To calculate the expression 2(x + 3) + 3(3x - 2), you can use the distributive property to simplify it. Let's break it down step by step:
First, apply the distributive property to the terms inside the parentheses:
2(x + 3) = 2x + 6
3(3x - 2) = 9x - 6
Now, combine like terms by adding the coefficients of the same variables:
2x + 6 + 9x - 6
Combine the x terms:
2x + 9x = 11x
Combine the constant terms:
6 - 6 = 0
So the final simplified expression is:
11x + 0, which is just equal to 11x.
Therefore, the simplified form of 2(x + 3) + 3(3x - 2) is 11x.