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Simplifying 0.25x + 40 = 0.35x + 25 Reorder the terms: 40 + 0.25x = 0.35x + 25 Reorder the terms: 40 + 0.25x = 25 + 0.35x Solving 40 + 0.25x = 25 + 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. 40 + 0.25x + -0.35x = 25 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 40 + -0.1x = 25 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 40 + -0.1x = 25 + 0.00 40 + -0.1x = 25 Add '-40' to each side of the equation. 40 + -40 + -0.1x = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.1x = 25 + -40 -0.1x = 25 + -40 Combine like terms: 25 + -40 = -15 -0.1x = -15 Divide each side by '-0.1'. x = 150 Simplifying x = 150
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