Question

solve for x.
$4(-x + 1) - x + 4 = -37$
answer
$x = $

Explanation:

Step1: Expand the bracket

First, we expand \(4(-x + 1)\) using the distributive property \(a(b + c)=ab+ac\). So, \(4(-x + 1)=4\times(-x)+4\times1=-4x + 4\). The equation becomes \(-4x + 4 - x + 4=-37\).

Step2: Combine like terms

Combine the \(x\)-terms and the constant terms. For the \(x\)-terms: \(-4x - x=-5x\). For the constant terms: \(4 + 4 = 8\). So the equation simplifies to \(-5x+8=-37\).

Step3: Isolate the \(x\)-term

Subtract 8 from both sides of the equation. \(-5x+8 - 8=-37 - 8\), which gives \(-5x=-45\).

Step4: Solve for \(x\)

Divide both sides by \(-5\). \(\frac{-5x}{-5}=\frac{-45}{-5}\), so \(x = 9\).

Answer:

\(x = 9\)