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Simplifying x = 96 + -0.5(96 + -0.5x) x = 96 + (96 * -0.5 + -0.5x * -0.5) x = 96 + (-48 + 0.25x) Combine like terms: 96 + -48 = 48 x = 48 + 0.25x Solving x = 48 + 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 = 48 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x 0.75x = 48 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.75x = 48 + 0.00 0.75x = 48 Divide each side by '0.75'. x = 64 Simplifying x = 64
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