To solve the equation, we will first simplify both sides by expanding the expressions:
6(x - 7) + 13x = 7(2x - 6) + 27 6x - 42 + 13x = 14x - 42 + 27 19x - 42 = 14x - 15
Next, we will bring all the x terms to one side and the constant terms to the other side:
19x - 14x = -15 + 42 5x = 27
Finally, we will solve for x by dividing both sides by 5:
x = 27 / 5 x = 5.4
Therefore, the solution to the equation is x = 5.4.