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Simplifying 0.25x + 0.75 = 0.5x + 5 Reorder the terms: 0.75 + 0.25x = 0.5x + 5 Reorder the terms: 0.75 + 0.25x = 5 + 0.5x Solving 0.75 + 0.25x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.75 + 0.25x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x 0.75 + -0.25x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.75 + -0.25x = 5 + 0.0 0.75 + -0.25x = 5 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.25x = 5 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.25x = 5 + -0.75 -0.25x = 5 + -0.75 Combine like terms: 5 + -0.75 = 4.25 -0.25x = 4.25 Divide each side by '-0.25'. x = -17 Simplifying x = -17
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