Subjects algebra

Solve Linear Equation 60225C

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1. **State the problem:** Solve the equation $2x + x + 4 + x - 4 = 180$ for $x$. 2. **Combine like terms:** Group the terms with $x$ and the constant terms separately. $$2x + x + x + 4 - 4 = 180$$ Simplify the constants: $$2x + x + x + \cancel{4} - \cancel{4} = 180$$ 3. **Simplify the $x$ terms:** $$2x + x + x = 4x$$ So the equation becomes: $$4x = 180$$ 4. **Solve for $x$:** Divide both sides by 4. $$\frac{\cancel{4}x}{\cancel{4}} = \frac{180}{4}$$ $$x = 45$$ 5. **Final answer:** $$\boxed{45}$$