Question

How do you simplify \[7(x - 11)\]?

Answer 1

Hint: In order to solve this question we must know the distributive property which is as follows:\[a(b + c) = ab + ac\],here a is distributed and multiplied with each of the numbers separated by operator and removes the bracket. By following the BODMAS, solve the further question in order to simplify. In our given question variable x and the number are not the like terms to be operated altogether so here we need to apply the Distributive property. We do not have to alter the equation inside the brackets just distribute the outer number with each of the inner numbers.

Complete step-by-step answer:
We are given an expression having variable ( $ x $ ) \[7(x - 11)\].
Let it be call $ f(x) $ ,so
 $ f(x) = 7(x - 11) $
Distributive states that $ A(B + C) = A.B + A.C $
By applying the distributive property in order simplify the function, we get
If we simplify further,
 $ f(x) = 7x - 77 $
So, the correct answer is “ 7x - 77”.

Note: Linear Equation: A linear equation is a equation which can be represented in the form of $ ax + c $ where $ x $ is the unknown variable and a,c are the numbers known where $ a \ne 0 $ .If $ a = 0 $ then the equation will become constant value and will no more be a linear equation