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Simplifying 0.25x + 0.5 = 6.5 + -0.75x Reorder the terms: 0.5 + 0.25x = 6.5 + -0.75x Solving 0.5 + 0.25x = 6.5 + -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. 0.5 + 0.25x + 0.75x = 6.5 + -0.75x + 0.75x Combine like terms: 0.25x + 0.75x = 1x 0.5 + 1x = 6.5 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 0.5 + 1x = 6.5 + 0.00 0.5 + 1x = 6.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1x = 6.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1x = 6.5 + -0.5 1x = 6.5 + -0.5 Combine like terms: 6.5 + -0.5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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