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Simplifying
2x(1 + -1x) = -1(18 + -2x)
(1 * 2x + -1x * 2x) = -1(18 + -2x)
(2x + -2x2) = -1(18 + -2x)
2x + -2x2 = (18 * -1 + -2x * -1)
2x + -2x2 = (-18 + 2x)
Add '-2x' to each side of the equation.
2x + -2x + -2x2 = -18 + 2x + -2x
Combine like terms: 2x + -2x = 0
0 + -2x2 = -18 + 2x + -2x
-2x2 = -18 + 2x + -2x
Combine like terms: 2x + -2x = 0
-2x2 = -18 + 0
-2x2 = -18
Solving
-2x2 = -18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-2'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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