Multiply and divide signed numbers and interpret sign patterns correctly.
Find a missing signed factor or quotient
Problem
Find the missing signed number \(x\) in the equation \((-6)x~=~-42\).
Big Picture
What this problem is really about
Undo the multiplication by dividing both sides by the signed coefficient of x. The two quantities in that quotient are both negative, so the missing factor is positive; divide their absolute values to find its size. Substitute the factor into the original product to check both its sign and magnitude.
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