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Simplifying
14 = -0.5x2 + 46
Reorder the terms:
14 = 46 + -0.5x2
Solving
14 = 46 + -0.5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.5x2' to each side of the equation.
14 + 0.5x2 = 46 + -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
14 + 0.5x2 = 46 + 0.0
14 + 0.5x2 = 46
Add '-14' to each side of the equation.
14 + -14 + 0.5x2 = 46 + -14
Combine like terms: 14 + -14 = 0
0 + 0.5x2 = 46 + -14
0.5x2 = 46 + -14
Combine like terms: 46 + -14 = 32
0.5x2 = 32
Divide each side by '0.5'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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