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Simplifying 0.75x + 3 = 0.5x + 5 Reorder the terms: 3 + 0.75x = 0.5x + 5 Reorder the terms: 3 + 0.75x = 5 + 0.5x Solving 3 + 0.75x = 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. 3 + 0.75x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 3 + 0.25x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 0.25x = 5 + 0.0 3 + 0.25x = 5 Add '-3' to each side of the equation. 3 + -3 + 0.25x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 0.25x = 5 + -3 0.25x = 5 + -3 Combine like terms: 5 + -3 = 2 0.25x = 2 Divide each side by '0.25'. x = 8 Simplifying x = 8
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