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Simplifying 0.5x + x = 0.25x + 7 Combine like terms: 0.5x + x = 1.5x 1.5x = 0.25x + 7 Reorder the terms: 1.5x = 7 + 0.25x Solving 1.5x = 7 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.5x + -0.25x = 7 + 0.25x + -0.25x Combine like terms: 1.5x + -0.25x = 1.25x 1.25x = 7 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.25x = 7 + 0.00 1.25x = 7 Divide each side by '1.25'. x = 5.6 Simplifying x = 5.6
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