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Simplifying 0.60x + 30 = 0.35x + 55 Reorder the terms: 30 + 0.60x = 0.35x + 55 Reorder the terms: 30 + 0.60x = 55 + 0.35x Solving 30 + 0.60x = 55 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 30 + 0.60x + -0.35x = 55 + 0.35x + -0.35x Combine like terms: 0.60x + -0.35x = 0.25x 30 + 0.25x = 55 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 30 + 0.25x = 55 + 0.00 30 + 0.25x = 55 Add '-30' to each side of the equation. 30 + -30 + 0.25x = 55 + -30 Combine like terms: 30 + -30 = 0 0 + 0.25x = 55 + -30 0.25x = 55 + -30 Combine like terms: 55 + -30 = 25 0.25x = 25 Divide each side by '0.25'. x = 100 Simplifying x = 100
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