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Simplifying 0.25x + 40 + 15 = 0.35x + 46 Reorder the terms: 40 + 15 + 0.25x = 0.35x + 46 Combine like terms: 40 + 15 = 55 55 + 0.25x = 0.35x + 46 Reorder the terms: 55 + 0.25x = 46 + 0.35x Solving 55 + 0.25x = 46 + 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. 55 + 0.25x + -0.35x = 46 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 55 + -0.1x = 46 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 55 + -0.1x = 46 + 0.00 55 + -0.1x = 46 Add '-55' to each side of the equation. 55 + -55 + -0.1x = 46 + -55 Combine like terms: 55 + -55 = 0 0 + -0.1x = 46 + -55 -0.1x = 46 + -55 Combine like terms: 46 + -55 = -9 -0.1x = -9 Divide each side by '-0.1'. x = 90 Simplifying x = 90
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