Conditional Expectation and Conditional Variance of die

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I've been doing this but not getting this answer. Can anyone guide me to right answer?

Let X be the number obtained when one true die is tossed. Let T be the sum of numbers obtained when X true dice are then thrown. Calculate $\mathbb{E}[T]$ and $Var[T]$.

Right answers are:

$$\mathbb{E}[T] = \frac{49}{4}$$ $$Var[T] = \frac{735}{16}$$