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Simplifying 95 = 0.5(94 + x) 95 = (94 * 0.5 + x * 0.5) 95 = (47 + 0.5x) Solving 95 = 47 + 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. 95 + -0.5x = 47 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 95 + -0.5x = 47 + 0.0 95 + -0.5x = 47 Add '-95' to each side of the equation. 95 + -95 + -0.5x = 47 + -95 Combine like terms: 95 + -95 = 0 0 + -0.5x = 47 + -95 -0.5x = 47 + -95 Combine like terms: 47 + -95 = -48 -0.5x = -48 Divide each side by '-0.5'. x = 96 Simplifying x = 96
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