Final answer:
To find the value of x in the solution set of the equation 3(x-4) = 25x + 2, we simplify the equation, isolate the variable x, and solve for x. The value of x in the solution set is -7/11.
Step-by-step explanation:
To find the value of x in the solution set of the equation
3(x-4) = 25x + 2,
we will first simplify the equation by distributing 3 to the terms inside the parentheses:
3x - 12 = 25x + 2.
Next, we will isolate the variable x by subtracting 3x from both sides of the equation:
-12 = 22x + 2.
Then, we will subtract 2 from both sides of the equation:
-14 = 22x.
Finally, we will divide both sides of the equation by 22 to solve for x:
x = -14/22,
which simplifies to x = -7/11.
Therefore, the value of x in the solution set is -7/11.