Questions: Question 1(Multiple Choice Worth 2 points (Adding and Subtracting Linear Expressions MC) Write the following expression using the fewest possible terms. (-2 x-13)+(19+5 x) 3 x+(-6) 7 x+(-6) 7 x+32 3 x+6

Question 1(Multiple Choice Worth 2 points (Adding and Subtracting Linear Expressions MC)

Write the following expression using the fewest possible terms. (-2 x-13)+(19+5 x) 3 x+(-6) 7 x+(-6) 7 x+32 3 x+6

Transcript text: Question 1(Multiple Choice Worth 2 points (Adding and Subtracting Linear Expressions MC) Write the following expression using the fewest possible terms. \[ (-2 x-13)+(19+5 x) \] $3 x+(-6)$ $7 x+(-6)$ $7 x+32$ $3 x+6$

Solution

Solution Steps

To simplify the given expression $(-2x - 13) + (19 + 5x)$, we need to combine like terms. This involves adding the coefficients of $x$ together and the constant terms together.

Step 1: Combine Like Terms

We start with the expression: \[ (-2x - 13) + (19 + 5x) \] First, we combine the coefficients of $x$: \[ -2 + 5 = 3 \] Next, we combine the constant terms: \[ -13 + 19 = 6 \]

Step 2: Write the Simplified Expression

After combining the like terms, we can write the simplified expression as: \[ 3x + 6 \]