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Simplifying 0.35x + 45 = 40 + 15 + 0.25x Reorder the terms: 45 + 0.35x = 40 + 15 + 0.25x Combine like terms: 40 + 15 = 55 45 + 0.35x = 55 + 0.25x Solving 45 + 0.35x = 55 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 45 + 0.35x + -0.25x = 55 + 0.25x + -0.25x Combine like terms: 0.35x + -0.25x = 0.1x 45 + 0.1x = 55 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 45 + 0.1x = 55 + 0.00 45 + 0.1x = 55 Add '-45' to each side of the equation. 45 + -45 + 0.1x = 55 + -45 Combine like terms: 45 + -45 = 0 0 + 0.1x = 55 + -45 0.1x = 55 + -45 Combine like terms: 55 + -45 = 10 0.1x = 10 Divide each side by '0.1'. x = 100 Simplifying x = 100
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