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Simplifying 0.25x + 12 = 0.5x + 10 Reorder the terms: 12 + 0.25x = 0.5x + 10 Reorder the terms: 12 + 0.25x = 10 + 0.5x Solving 12 + 0.25x = 10 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 12 + 0.25x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x 12 + -0.25x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 12 + -0.25x = 10 + 0.0 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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