Combine like terms and simplify expressions while preserving structure.
Combine like terms with negatives
Problem
Simplify the expression: \(7x~-~3~+~2x~-~5\).
Big Picture
What this problem is really about
Carry every sign with the term that follows it before regrouping. The two x-terms have matching variable parts, while the two subtracted numbers are negative constants in a separate group. Add the x-coefficients and combine the negative constants, then leave the unlike results as distinct terms.
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