Final answer:
The algebraic expression 11x - 21 + 11 - 6x simplifies to 5x - 10 by combining like terms, adding the coefficients of x, and adding the constant numbers together.
Step-by-step explanation:
Simplifying an Algebraic Expression
To simplify the algebraic expression 11x - 21 + 11 - 6x, we combine like terms. This involves adding coefficients of the same variable and compiling constant numbers. The terms 11x and -6x are like terms because they both contain the variable x. We add their coefficients, 11 and -6, which gives us 5x. The constants -21 and 11 are like terms too, and when we add them together, we get -10. The simplification process leads us to the final expression:
5x - 10
This is a simple linear expression where 5 is the coefficient of x, and -10 is the constant term.