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Simplifying x = 50 + -0.5[50 + -0.5x] x = 50 + [50 * -0.5 + -0.5x * -0.5] x = 50 + [-25 + 0.25x] Combine like terms: 50 + -25 = 25 x = 25 + 0.25x Solving x = 25 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. x + -0.25x = 25 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x 0.75x = 25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.75x = 25 + 0.00 0.75x = 25 Divide each side by '0.75'. x = 33.33333333 Simplifying x = 33.33333333
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