In the equation 7 - 2(x - 3) = 1, what is the value of x?

To solve the equation 7 - 2(x - 3) = 1, we first simplify it step by step. Starting with the original equation, we distribute the -2 through the parentheses:

7 - 2(x - 3) becomes 7 - 2x + 6, since -2 times -3 is +6. This simplifies to:

7 + 6 - 2x = 1.

Combining the constants on the left side gives us:

13 - 2x = 1.

Next, we isolate the term containing x by subtracting 13 from both sides:

-2x = 1 - 13,

-2x = -12.

Now, to solve for x, we divide both sides by -2, which gives us:

x = -12 / -2,

x = 6.

Thus, the value of x in the equation is 6, confirming that this solution aligns correctly with the choices provided.