solve the equation.\n-10x + 1 + 7x = 37\no x = -15\no x = -12\no x = 12\no x = 15

Explanation:

Step1: Combine like - terms

Combine the $x$ terms on the left - hand side of the equation: $-10x+7x=-3x$. So the equation becomes $-3x + 1=37$.

Step2: Isolate the term with $x$

Subtract 1 from both sides of the equation: $-3x+1 - 1=37 - 1$, which simplifies to $-3x=36$.

Step3: Solve for $x$

Divide both sides of the equation by - 3: $\frac{-3x}{-3}=\frac{36}{-3}$, so $x=-12$.

Answer:

$x = - 12$