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Simplifying 0 = 0.5(x + -0.5 + 0.5x + -0.33) Reorder the terms: 0 = 0.5(-0.5 + -0.33 + x + 0.5x) Combine like terms: -0.5 + -0.33 = -0.83 0 = 0.5(-0.83 + x + 0.5x) Combine like terms: x + 0.5x = 1.5x 0 = 0.5(-0.83 + 1.5x) 0 = (-0.83 * 0.5 + 1.5x * 0.5) 0 = (-0.415 + 0.75x) Solving 0 = -0.415 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 0 + -0.75x = -0.415 + 0.75x + -0.75x Remove the zero: -0.75x = -0.415 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.75x = -0.415 + 0.00 -0.75x = -0.415 Divide each side by '-0.75'. x = 0.5533333333 Simplifying x = 0.5533333333
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