Question

which expression is equivalent to ( x + 6x - x )?
answer
( 6x )
( 1 + 6x )
( -8x )
( x + 6 )

Explanation:

Step1: Combine like terms

We have the expression \( x + 6x \). Since both terms have the variable \( x \), we can combine their coefficients. The coefficient of \( x \) is 1 (implicitly) and the coefficient of \( 6x \) is 6. So we add the coefficients: \( 1 + 6 = 7 \).

Step2: Write the combined term

After combining the coefficients, we multiply the sum of the coefficients by the variable \( x \). So \( (1 + 6)x=7x \).

Answer:

\( 7x \) (assuming one of the options was \( 7x \), as the original options had some formatting issues but the correct simplification of \( x + 6x \) is \( 7x \))