Subjects algebra

Simplify Expression E1E147

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Question: -3x(1-4/3)=
1. **State the problem:** Simplify the expression $$-3x(1-\frac{4}{3})$$. 2. **Recall the distributive property:** When you have a number multiplied by a difference inside parentheses, you can simplify inside the parentheses first, then multiply. 3. **Simplify inside the parentheses:** $$1 - \frac{4}{3} = \frac{3}{3} - \frac{4}{3} = -\frac{1}{3}$$ 4. **Substitute back:** $$-3x \times \left(-\frac{1}{3}\right)$$ 5. **Multiply:** $$-3x \times -\frac{1}{3} = \cancel{-3}x \times \cancel{-\frac{1}{3}} = x$$ 6. **Final answer:** $$x$$