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Simplifying
7x2 + -38 = 74
Reorder the terms:
-38 + 7x2 = 74
Solving
-38 + 7x2 = 74
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '38' to each side of the equation.
-38 + 38 + 7x2 = 74 + 38
Combine like terms: -38 + 38 = 0
0 + 7x2 = 74 + 38
7x2 = 74 + 38
Combine like terms: 74 + 38 = 112
7x2 = 112
Divide each side by '7'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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