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Simplifying 98 + -0.5(98 + -0.5x) = x 98 + (98 * -0.5 + -0.5x * -0.5) = x 98 + (-49 + 0.25x) = x Combine like terms: 98 + -49 = 49 49 + 0.25x = x Solving 49 + 0.25x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 49 + 0.25x + -1x = x + -1x Combine like terms: 0.25x + -1x = -0.75x 49 + -0.75x = x + -1x Combine like terms: x + -1x = 0 49 + -0.75x = 0 Add '-49' to each side of the equation. 49 + -49 + -0.75x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -0.75x = 0 + -49 -0.75x = 0 + -49 Combine like terms: 0 + -49 = -49 -0.75x = -49 Divide each side by '-0.75'. x = 65.33333333 Simplifying x = 65.33333333
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