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Simplifying 0.50x + 12 = 0.75x + 8 Reorder the terms: 12 + 0.50x = 0.75x + 8 Reorder the terms: 12 + 0.50x = 8 + 0.75x Solving 12 + 0.50x = 8 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 12 + 0.50x + -0.75x = 8 + 0.75x + -0.75x Combine like terms: 0.50x + -0.75x = -0.25x 12 + -0.25x = 8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 12 + -0.25x = 8 + 0.00 12 + -0.25x = 8 Add '-12' to each side of the equation. 12 + -12 + -0.25x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -0.25x = 8 + -12 -0.25x = 8 + -12 Combine like terms: 8 + -12 = -4 -0.25x = -4 Divide each side by '-0.25'. x = 16 Simplifying x = 16
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