Question

1. which expression is equivalent to $x + 6x - x$?

a. $6x$ b. $-8x$ c. $1 + 5x$ d. $x + 5$

Explanation:

Step1: Combine like terms

We have the expression \(x + 6x - x\). First, combine the \(x\) terms. The coefficient of the first \(x\) is \(1\), the coefficient of \(6x\) is \(6\), and the coefficient of \(-x\) is \(- 1\). So we add the coefficients: \(1+6 - 1\).
\[1 + 6-1=6\]

Step2: Multiply by \(x\)

Since the variable is \(x\), we multiply the result from Step 1 by \(x\). So we get \(6\times x = 6x\).

Answer:

A. \(6x\)