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Simplifying 0.25x + 50 = 0.50x + 35 Reorder the terms: 50 + 0.25x = 0.50x + 35 Reorder the terms: 50 + 0.25x = 35 + 0.50x Solving 50 + 0.25x = 35 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 50 + 0.25x + -0.50x = 35 + 0.50x + -0.50x Combine like terms: 0.25x + -0.50x = -0.25x 50 + -0.25x = 35 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 50 + -0.25x = 35 + 0.00 50 + -0.25x = 35 Add '-50' to each side of the equation. 50 + -50 + -0.25x = 35 + -50 Combine like terms: 50 + -50 = 0 0 + -0.25x = 35 + -50 -0.25x = 35 + -50 Combine like terms: 35 + -50 = -15 -0.25x = -15 Divide each side by '-0.25'. x = 60 Simplifying x = 60
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