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Simplifying 0.5x + 3 = 75x + -7.75 Reorder the terms: 3 + 0.5x = 75x + -7.75 Reorder the terms: 3 + 0.5x = -7.75 + 75x Solving 3 + 0.5x = -7.75 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 3 + 0.5x + -75x = -7.75 + 75x + -75x Combine like terms: 0.5x + -75x = -74.5x 3 + -74.5x = -7.75 + 75x + -75x Combine like terms: 75x + -75x = 0 3 + -74.5x = -7.75 + 0 3 + -74.5x = -7.75 Add '-3' to each side of the equation. 3 + -3 + -74.5x = -7.75 + -3 Combine like terms: 3 + -3 = 0 0 + -74.5x = -7.75 + -3 -74.5x = -7.75 + -3 Combine like terms: -7.75 + -3 = -10.75 -74.5x = -10.75 Divide each side by '-74.5'. x = 0.144295302 Simplifying x = 0.144295302
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