Solve two-step equations and justify each inverse operation.
Solve two-step equations with negatives
Problem
Solve \(-2x~+~7~=~1\).
Big Picture
What this problem is really about
Keep the negative coefficient attached to x throughout the work. Remove the added seven first, then divide both sides by negative two to isolate the variable. The sign rule matters in that final division, and substitution into the original expression catches any lost negative sign.
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