Answer
The coefficient of the term that contains $x^7$ is:
$-101,376$
Work Step by Step
RECALL:
The term containing $x^j$ in the expansion of $(x+c)^n$ is:
${n}\choose{n-j}$$c^{n-j}x^j$
Using the formula above, replacing $x$ with $2x$ and $c$ with $-1$, the term containing $x^7$ in the expansion of $(2x-1)^{12}$ is:
=${12}\choose{12-7}$ $(-1)^{12-7}(2x)^7$
=${12}\choose{5}$ $(-1)^{5}(2x)^7$
$=\dfrac{12!}{5!7!}\cdot (-1) \cdot 128x^7
\\=792\cdot (-128x^7)
\\=-101,376x^7$
Thus, the coefficient of the term that contains $x^7$ is $-101,376$.