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\frac{x-6+2x+2z}{2}
Factor out \frac{1}{2}.
3x+2z-6
Consider x-6+2x+2z. Multiply and combine like terms.
\frac{3x+2z-6}{2}
Rewrite the complete factored expression.
\frac{3}{2}x-3+z
Combine \frac{x}{2} and x to get \frac{3}{2}x.