Question

7.) $-x + (-4x) + (-4) + x =$
8.) $7x + (-7) + 6 + (-5x) =$
9.) $-5q - 2 + 2q - 8 =$
10.) $4a + 2b - 3 - 6a - 5b =$

Explanation:

Problem 7

Step1: Combine like terms for \(x\)

\(-x + (-4x) + x = (-1 - 4 + 1)x = -4x\)

Step2: Add the constant term

\(-4x + (-4) = -4x - 4\)

Step1: Combine like terms for \(x\)

\(7x + (-5x) = (7 - 5)x = 2x\)

Step2: Combine constant terms

\(-7 + 6 = -1\)

Step3: Combine results

\(2x - 1\)

Step1: Combine like terms for \(q\)

\(-5q + 2q = (-5 + 2)q = -3q\)

Step2: Combine constant terms

\(-2 - 8 = -10\)

Step3: Combine results

\(-3q - 10\)

Answer:

\(-4x - 4\)

Problem 8