Question

type the correct answer in the box. simplify this expression: 4(1 - 3x) + 7x - 8.

Explanation:

Step1: Distribute the 4

Using the distributive property \(a(b + c)=ab+ac\), we distribute 4 to \(1\) and \(-3x\):
\(4(1 - 3x)=4\times1-4\times3x = 4 - 12x\)

Step2: Combine like terms

Now substitute back into the original expression: \(4 - 12x+7x - 8\).
Combine the constant terms (\(4\) and \(-8\)) and the \(x\)-terms (\(-12x\) and \(7x\)):
For constants: \(4 - 8=-4\)
For \(x\)-terms: \(-12x + 7x=-5x\)

Step3: Final expression

Combine the results: \(-5x - 4\) (or \(-4 - 5x\))

Answer:

\(-5x - 4\)