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Simplifying 0.5x + 7.5 = 0.75x Reorder the terms: 7.5 + 0.5x = 0.75x Solving 7.5 + 0.5x = 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 7.5 + 0.5x + -0.75x = 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 7.5 + -0.25x = 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 7.5 + -0.25x = 0.00 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.25x = 0.00 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.25x = 0.00 + -7.5 -0.25x = 0.00 + -7.5 Combine like terms: 0.00 + -7.5 = -7.5 -0.25x = -7.5 Divide each side by '-0.25'. x = 30 Simplifying x = 30
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