1. **State the problem:** Solve the equation $x + (x + 9) + (x + 4) = 2x + 4x - 2$ for $x$. 2. **Write down the equation clearly:** $$x + (x + 9) + (x + 4) = 2x + 4x - 2$$ 3. **Simplify both sides:** Left side: $x + x + 9 + x + 4 = 3x + 13$ Right side: $2x + 4x - 2 = 6x - 2$ So the equation becomes: $$3x + 13 = 6x - 2$$ 4. **Isolate variable terms on one side:** Subtract $3x$ from both sides: $$\cancel{3x} + 13 = 6x - 2 - \cancel{3x}$$ which simplifies to: $$13 = 3x - 2$$ 5. **Isolate the constant term:** Add $2$ to both sides: $$13 + 2 = 3x - 2 + 2$$ which simplifies to: $$15 = 3x$$ 6. **Solve for $x$ by dividing both sides by 3:** $$\frac{15}{\cancel{3}} = \frac{3x}{\cancel{3}}$$ which simplifies to: $$5 = x$$ 7. **Final answer:** $$\boxed{5}$$ This means the value of $x$ that satisfies the equation is 5.