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Simplifying 0.75x + 3 = 0.25x + 6 Reorder the terms: 3 + 0.75x = 0.25x + 6 Reorder the terms: 3 + 0.75x = 6 + 0.25x Solving 3 + 0.75x = 6 + 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. 3 + 0.75x + -0.25x = 6 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 3 + 0.5x = 6 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 3 + 0.5x = 6 + 0.00 3 + 0.5x = 6 Add '-3' to each side of the equation. 3 + -3 + 0.5x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5x = 6 + -3 0.5x = 6 + -3 Combine like terms: 6 + -3 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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