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Simplifying
12x2 + -7 = 41
Reorder the terms:
-7 + 12x2 = 41
Solving
-7 + 12x2 = 41
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 12x2 = 41 + 7
Combine like terms: -7 + 7 = 0
0 + 12x2 = 41 + 7
12x2 = 41 + 7
Combine like terms: 41 + 7 = 48
12x2 = 48
Divide each side by '12'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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