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Simplifying 0.75x + 5 = 0.25x + 7 Reorder the terms: 5 + 0.75x = 0.25x + 7 Reorder the terms: 5 + 0.75x = 7 + 0.25x Solving 5 + 0.75x = 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. 5 + 0.75x + -0.25x = 7 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 5 + 0.5x = 7 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 5 + 0.5x = 7 + 0.00 5 + 0.5x = 7 Add '-5' to each side of the equation. 5 + -5 + 0.5x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5x = 7 + -5 0.5x = 7 + -5 Combine like terms: 7 + -5 = 2 0.5x = 2 Divide each side by '0.5'. x = 4 Simplifying x = 4
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