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To solve for x, we can start by expanding both sides of the equation:
5(x - 8) = 7(x - 4)
5x - 40 = 7x - 28
Next, let's get all the x terms on one side of the equation and the constant terms on the other side. We can do this by subtracting 5x from both sides:
-40 = 2x - 28
To isolate the x term, we can add 28 to both sides of the equation:
-40 + 28 = 2x
-12 = 2x
Finally, to solve for x, we divide both sides of the equation by 2:
-12/2 = x
-6 = x
Therefore, the solution to the equation is x = -6.