Question

How do you simplify $11x - (x + 7)$ ?

Answer 1

Hint: To solve the given expression, we should know that the given expression belongs to the linear expression in one variable and then we will discuss the steps to simplify the linear expression in one variable. And finally, we will solve for the given expression on the basis of the steps.

Complete step-by-step solution:
As we can see, the following given expression belongs to the simple linear expression in one variable.
To simplify the linear expression in one variable, we have few steps to solve the expression as follows:-

Step-1: First we should identify the numbers of the same species and the same variable.
Step-2: Keep the constant and the variable numbers separately united.
Step-3: Do operations with both the species separately.
Step-4: After the calculation ends, we have the simplest new expression, for that we go through the previous steps.
Now, on the basis of the above steps, we will simplify the given expression:
$
\Rightarrow 11x - (x + 7) \\
\Rightarrow 11x - 1x - 7 \\
\Rightarrow 10x - 7 \\
 \Rightarrow (11 - 1)x - 7 \\
 \Rightarrow 10x - 7 \\
$

Hence, the simplified form of $11x - (x + 7)$ is $10x - 7$

Note: Simplification of expressions is a very useful mathematics skill because it allows us to change complex or awkward expressions into more simple and compact forms. But before that we must know what an algebraic language is.