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Simplifying X + -0.5((1 + -1X) + -0.33) = 0 Remove parenthesis around (1 + -1X) X + -0.5(1 + -1X + -0.33) = 0 Reorder the terms: X + -0.5(1 + -0.33 + -1X) = 0 Combine like terms: 1 + -0.33 = 0.67 X + -0.5(0.67 + -1X) = 0 X + (0.67 * -0.5 + -1X * -0.5) = 0 X + (-0.335 + 0.5X) = 0 Reorder the terms: -0.335 + X + 0.5X = 0 Combine like terms: X + 0.5X = 1.5X -0.335 + 1.5X = 0 Solving -0.335 + 1.5X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.335' to each side of the equation. -0.335 + 0.335 + 1.5X = 0 + 0.335 Combine like terms: -0.335 + 0.335 = 0.000 0.000 + 1.5X = 0 + 0.335 1.5X = 0 + 0.335 Combine like terms: 0 + 0.335 = 0.335 1.5X = 0.335 Divide each side by '1.5'. X = 0.2233333333 Simplifying X = 0.2233333333
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