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Simplifying 0.25x + 12 = 0.50x + 10 Reorder the terms: 12 + 0.25x = 0.50x + 10 Reorder the terms: 12 + 0.25x = 10 + 0.50x Solving 12 + 0.25x = 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. 12 + 0.25x + -0.50x = 10 + 0.50x + -0.50x Combine like terms: 0.25x + -0.50x = -0.25x 12 + -0.25x = 10 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 12 + -0.25x = 10 + 0.00 12 + -0.25x = 10 Add '-12' to each side of the equation. 12 + -12 + -0.25x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -0.25x = 10 + -12 -0.25x = 10 + -12 Combine like terms: 10 + -12 = -2 -0.25x = -2 Divide each side by '-0.25'. x = 8 Simplifying x = 8
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