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Simplifying 0.75x + 5 = 0.5x + 9 Reorder the terms: 5 + 0.75x = 0.5x + 9 Reorder the terms: 5 + 0.75x = 9 + 0.5x Solving 5 + 0.75x = 9 + 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. 5 + 0.75x + -0.5x = 9 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 5 + 0.25x = 9 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.25x = 9 + 0.0 5 + 0.25x = 9 Add '-5' to each side of the equation. 5 + -5 + 0.25x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 0.25x = 9 + -5 0.25x = 9 + -5 Combine like terms: 9 + -5 = 4 0.25x = 4 Divide each side by '0.25'. x = 16 Simplifying x = 16
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