Subjects algebra

Solve Linear Equation 1Cd041

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1. **State the problem:** Solve the equation $3x + x + x + x - 3 - 3 = 7 + x + x$ for $x$. 2. **Combine like terms:** On the left side, combine the $x$ terms: $3x + x + x + x = 6x$. Also combine constants: $-3 - 3 = -6$. On the right side, combine $x$ terms: $x + x = 2x$. 3. **Rewrite the equation:** $$6x - 6 = 7 + 2x$$ 4. **Isolate variable terms:** Subtract $2x$ from both sides: $$6x - 2x - 6 = 7$$ which simplifies to $$4x - 6 = 7$$ 5. **Isolate $x$:** Add $6$ to both sides: $$4x = 7 + 6$$ $$4x = 13$$ 6. **Solve for $x$:** Divide both sides by $4$: $$x = \frac{13}{4}$$ **Final answer:** $$x = \frac{13}{4}$$