Subjects algebra

Solve Linear Equation Dd6505

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1. **State the problem:** Solve for $x$ in the equation $x + x(0.075) = 118606199.99$. 2. **Rewrite the equation:** Combine like terms on the left side. $$x + 0.075x = 118606199.99$$ 3. **Factor out $x$:** $$x(1 + 0.075) = 118606199.99$$ 4. **Simplify inside the parentheses:** $$x(1.075) = 118606199.99$$ 5. **Isolate $x$ by dividing both sides by 1.075:** $$x = \frac{118606199.99}{1.075}$$ 6. **Show cancellation step:** $$x = \frac{\cancel{118606199.99}}{\cancel{1.075}}$$ 7. **Calculate the division:** $$x \approx 110348470.46$$ **Final answer:** $$x \approx 110348470.46$$