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Simplifying 98 = 0.5(95 + x) 98 = (95 * 0.5 + x * 0.5) 98 = (47.5 + 0.5x) Solving 98 = 47.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 98 + -0.5x = 47.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 98 + -0.5x = 47.5 + 0.0 98 + -0.5x = 47.5 Add '-98' to each side of the equation. 98 + -98 + -0.5x = 47.5 + -98 Combine like terms: 98 + -98 = 0 0 + -0.5x = 47.5 + -98 -0.5x = 47.5 + -98 Combine like terms: 47.5 + -98 = -50.5 -0.5x = -50.5 Divide each side by '-0.5'. x = 101 Simplifying x = 101
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