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Simplifying 0.5x + 10 = 0.25x + 14 Reorder the terms: 10 + 0.5x = 0.25x + 14 Reorder the terms: 10 + 0.5x = 14 + 0.25x Solving 10 + 0.5x = 14 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 10 + 0.5x + -0.25x = 14 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 10 + 0.25x = 14 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 10 + 0.25x = 14 + 0.00 10 + 0.25x = 14 Add '-10' to each side of the equation. 10 + -10 + 0.25x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 0.25x = 14 + -10 0.25x = 14 + -10 Combine like terms: 14 + -10 = 4 0.25x = 4 Divide each side by '0.25'. x = 16 Simplifying x = 16
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