1. **Stating the problem:** We need to simplify and solve the equation $$(120x + 3y + 0.12z) + (200x + 2.5y + 0.12z) = 150000000$$ 2. **Combine like terms:** Group the terms with $x$, $y$, and $z$: $$120x + 200x = 320x$$ $$3y + 2.5y = 5.5y$$ $$0.12z + 0.12z = 0.24z$$ 3. **Rewrite the equation:** $$320x + 5.5y + 0.24z = 150000000$$ 4. **Explanation:** This is a linear equation with three variables $x$, $y$, and $z$. Without additional equations or constraints, we cannot find unique values for $x$, $y$, and $z$. The equation represents a plane in three-dimensional space. 5. **Summary:** The simplified form of the equation is: $$320x + 5.5y + 0.24z = 150000000$$ To solve for specific values, more information or equations are needed.