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To solve for x, we need to isolate the variable on one side of the equation.
Starting with the equation -7x + 40 = -37, we can first subtract 40 from both sides of the equation to get rid of the constant term:
-7x + 40 - 40 = -37 - 40
-7x = -77
Next, we can divide both sides of the equation by -7 to solve for x:
-7x / -7 = -77 / -7
x = 11
Therefore, the solution to the equation is x = 11.