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Simplifying 0.25x + 45 = 0.35x + 40 Reorder the terms: 45 + 0.25x = 0.35x + 40 Reorder the terms: 45 + 0.25x = 40 + 0.35x Solving 45 + 0.25x = 40 + 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. 45 + 0.25x + -0.35x = 40 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 45 + -0.1x = 40 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 45 + -0.1x = 40 + 0.00 45 + -0.1x = 40 Add '-45' to each side of the equation. 45 + -45 + -0.1x = 40 + -45 Combine like terms: 45 + -45 = 0 0 + -0.1x = 40 + -45 -0.1x = 40 + -45 Combine like terms: 40 + -45 = -5 -0.1x = -5 Divide each side by '-0.1'. x = 50 Simplifying x = 50
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