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Given, $$x\sin30^{\circ}\cos60^{\circ}=\sin45\cos45$$
$$\Rightarrow$$ $$x\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{\sqrt{2}}\times\frac{1}{\sqrt{2}}$$
$$\Rightarrow$$ $$x\times\frac{1}{4}=\frac{1}{2}$$
$$\Rightarrow$$ $$x=2$$
Hence, the correct answer is Option A
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