Subjects algebra

Multistep Equation B02809

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1. **Problem:** Solve the multistep equation $3(2x - 6) + x = 3$ for $x$. 2. **Formula and rules:** Use the distributive property and combine like terms. 3. **Step 1:** Distribute 3: $$3 \times 2x - 3 \times 6 + x = 3$$ $$6x - 18 + x = 3$$ 4. **Step 2:** Combine like terms: $$6x + x - 18 = 3$$ $$7x - 18 = 3$$ 5. **Step 3:** Add 18 to both sides: $$7x - 18 + 18 = 3 + 18$$ $$7x = 21$$ 6. **Step 4:** Divide both sides by 7: $$\frac{\cancel{7}x}{\cancel{7}} = \frac{21}{7}$$ $$x = 3$$ **Final answer:** $x = 3$