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Simplifying 0.20x + 5 = 19 + -0.50x Reorder the terms: 5 + 0.20x = 19 + -0.50x Solving 5 + 0.20x = 19 + -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. 5 + 0.20x + 0.50x = 19 + -0.50x + 0.50x Combine like terms: 0.20x + 0.50x = 0.7x 5 + 0.7x = 19 + -0.50x + 0.50x Combine like terms: -0.50x + 0.50x = 0.00 5 + 0.7x = 19 + 0.00 5 + 0.7x = 19 Add '-5' to each side of the equation. 5 + -5 + 0.7x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 0.7x = 19 + -5 0.7x = 19 + -5 Combine like terms: 19 + -5 = 14 0.7x = 14 Divide each side by '0.7'. x = 20 Simplifying x = 20
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