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Simplifying 0.75x + 7 = 0.50x + 12.50 Reorder the terms: 7 + 0.75x = 0.50x + 12.50 Reorder the terms: 7 + 0.75x = 12.50 + 0.50x Solving 7 + 0.75x = 12.50 + 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. 7 + 0.75x + -0.50x = 12.50 + 0.50x + -0.50x Combine like terms: 0.75x + -0.50x = 0.25x 7 + 0.25x = 12.50 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 7 + 0.25x = 12.50 + 0.00 7 + 0.25x = 12.50 Add '-7' to each side of the equation. 7 + -7 + 0.25x = 12.50 + -7 Combine like terms: 7 + -7 = 0 0 + 0.25x = 12.50 + -7 0.25x = 12.50 + -7 Combine like terms: 12.50 + -7 = 5.5 0.25x = 5.5 Divide each side by '0.25'. x = 22 Simplifying x = 22
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