Solve linear equations with variables on both sides and interpret special cases.
Simplify before collecting variables
Problem
Solve the equation: \(3x~+~4~+~x~=~2x~+~16\)
Big Picture
What this problem is really about
Simplify each side before moving anything across the equality. Combine the two like x-terms on the left while keeping the constant separate, then collect all variable terms on one side. Move the remaining constant, divide by the coefficient, and compare both original sides as a check.
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