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Simplifying 38x + 12.4 = 50x + 10 Reorder the terms: 12.4 + 38x = 50x + 10 Reorder the terms: 12.4 + 38x = 10 + 50x Solving 12.4 + 38x = 10 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 12.4 + 38x + -50x = 10 + 50x + -50x Combine like terms: 38x + -50x = -12x 12.4 + -12x = 10 + 50x + -50x Combine like terms: 50x + -50x = 0 12.4 + -12x = 10 + 0 12.4 + -12x = 10 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -12x = 10 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -12x = 10 + -12.4 -12x = 10 + -12.4 Combine like terms: 10 + -12.4 = -2.4 -12x = -2.4 Divide each side by '-12'. x = 0.2 Simplifying x = 0.2
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