To solve this equation, we will first simplify both sides by distributing the coefficients:

(2x + x) 2 + (4x - 1) 3
= (3x) 2 + (4x) 3 - 1 * 3
= 6x + 12x - 3
= 18x - 3

Now, we have:

10x - 7 = 18x - 3

Next, we will isolate the variable x by moving all terms with x to one side of the equation:

10x - 7 = 18x - 3
-10x -10x

-7 = 8x - 3
+3 +3

-4 = 8x

Now, we will solve for x by dividing both sides by 8:

-4/8 = 8x/8
-1/2 = x

Therefore, the solution to the equation is x = -1/2.