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Simplifying 0.5x + 0.25x + 75 = x Reorder the terms: 75 + 0.5x + 0.25x = x Combine like terms: 0.5x + 0.25x = 0.75x 75 + 0.75x = x Solving 75 + 0.75x = 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. 75 + 0.75x + -1x = x + -1x Combine like terms: 0.75x + -1x = -0.25x 75 + -0.25x = x + -1x Combine like terms: x + -1x = 0 75 + -0.25x = 0 Add '-75' to each side of the equation. 75 + -75 + -0.25x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -0.25x = 0 + -75 -0.25x = 0 + -75 Combine like terms: 0 + -75 = -75 -0.25x = -75 Divide each side by '-0.25'. x = 300 Simplifying x = 300
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