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Simplifying x = 100 + -0.5[100 + -0.5x] x = 100 + [100 * -0.5 + -0.5x * -0.5] x = 100 + [-50 + 0.25x] Combine like terms: 100 + -50 = 50 x = 50 + 0.25x Solving x = 50 + 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 = 50 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x 0.75x = 50 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.75x = 50 + 0.00 0.75x = 50 Divide each side by '0.75'. x = 66.66666667 Simplifying x = 66.66666667
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