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Simplifying 3 + 0.75x = 10 + 0.50x Solving 3 + 0.75x = 10 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 3 + 0.75x + -0.50x = 10 + 0.50x + -0.50x Combine like terms: 0.75x + -0.50x = 0.25x 3 + 0.25x = 10 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 3 + 0.25x = 10 + 0.00 3 + 0.25x = 10 Add '-3' to each side of the equation. 3 + -3 + 0.25x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 0.25x = 10 + -3 0.25x = 10 + -3 Combine like terms: 10 + -3 = 7 0.25x = 7 Divide each side by '0.25'. x = 28 Simplifying x = 28
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