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Simplifying
5x2 + -7 = 118
Reorder the terms:
-7 + 5x2 = 118
Solving
-7 + 5x2 = 118
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 + 5x2 = 118 + 7
Combine like terms: -7 + 7 = 0
0 + 5x2 = 118 + 7
5x2 = 118 + 7
Combine like terms: 118 + 7 = 125
5x2 = 125
Divide each side by '5'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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