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Simplifying 0.25x + 5 = 19 + -0.5x Reorder the terms: 5 + 0.25x = 19 + -0.5x Solving 5 + 0.25x = 19 + -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. 5 + 0.25x + 0.5x = 19 + -0.5x + 0.5x Combine like terms: 0.25x + 0.5x = 0.75x 5 + 0.75x = 19 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5 + 0.75x = 19 + 0.0 5 + 0.75x = 19 Add '-5' to each side of the equation. 5 + -5 + 0.75x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 0.75x = 19 + -5 0.75x = 19 + -5 Combine like terms: 19 + -5 = 14 0.75x = 14 Divide each side by '0.75'. x = 18.66666667 Simplifying x = 18.66666667
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