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Simplifying 0.25x + 35 = 0.75x + 8 Reorder the terms: 35 + 0.25x = 0.75x + 8 Reorder the terms: 35 + 0.25x = 8 + 0.75x Solving 35 + 0.25x = 8 + 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. 35 + 0.25x + -0.75x = 8 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 35 + -0.5x = 8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 35 + -0.5x = 8 + 0.00 35 + -0.5x = 8 Add '-35' to each side of the equation. 35 + -35 + -0.5x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -0.5x = 8 + -35 -0.5x = 8 + -35 Combine like terms: 8 + -35 = -27 -0.5x = -27 Divide each side by '-0.5'. x = 54 Simplifying x = 54
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