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Simplifying 0.25x + 200 = 0.35x + 150 Reorder the terms: 200 + 0.25x = 0.35x + 150 Reorder the terms: 200 + 0.25x = 150 + 0.35x Solving 200 + 0.25x = 150 + 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. 200 + 0.25x + -0.35x = 150 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 200 + -0.1x = 150 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 200 + -0.1x = 150 + 0.00 200 + -0.1x = 150 Add '-200' to each side of the equation. 200 + -200 + -0.1x = 150 + -200 Combine like terms: 200 + -200 = 0 0 + -0.1x = 150 + -200 -0.1x = 150 + -200 Combine like terms: 150 + -200 = -50 -0.1x = -50 Divide each side by '-0.1'. x = 500 Simplifying x = 500
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