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Simplifying x = 39 + -0.5[39 + -0.5x] x = 39 + [39 * -0.5 + -0.5x * -0.5] x = 39 + [-19.5 + 0.25x] Combine like terms: 39 + -19.5 = 19.5 x = 19.5 + 0.25x Solving x = 19.5 + 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 = 19.5 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x 0.75x = 19.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.75x = 19.5 + 0.00 0.75x = 19.5 Divide each side by '0.75'. x = 26 Simplifying x = 26
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