Final answer:
To simplify the expression 6(x - 1) + 5(x + 4), distribute and combine like terms to obtain the simplified form, which is 11x + 14.
Step-by-step explanation:
To simplify the expression 6(x - 1) + 5(x + 4), we need to follow a couple of steps. First, we distribute the numbers outside the parentheses to the terms inside. This means we multiply 6 by both x and -1, and we multiply 5 by both x and 4.
So, distributing 6 gives us 6x - 6, and distributing 5 gives us 5x + 20. Next, we combine like terms, which are terms that have the same variable to the same power. Here, the like terms are 6x and 5x. When we add them up, we get 11x. We also need to combine the constants -6 and +20, which gives us +14. So, the simplified expression is 11x + 14.