1) 7 - 3x = x + 11

First, let's simplify the equation by combining like terms:

7 - 3x = x + 11
-3x - x = 11 - 7
-4x = 4

Now, let's solve for x by dividing by -4:

-4x / -4 = 4 / -4
x = -1

So, the solution to the equation is x = -1.

2) 2(x + 3) = x + 13

First, let's distribute the 2 on the left side of the equation:

2x + 6 = x + 13

Now, let's combine like terms:

2x - x = 13 - 6
x = 7

So, the solution to the equation is x = 7.