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Simplifying (40 + 15) + 0.25x = 45 + 0.35x Combine like terms: 40 + 15 = 55 (55) + 0.25x = 45 + 0.35x 55 + 0.25x = 45 + 0.35x Solving 55 + 0.25x = 45 + 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 = 45 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 55 + -0.1x = 45 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 55 + -0.1x = 45 + 0.00 55 + -0.1x = 45 Add '-55' to each side of the equation. 55 + -55 + -0.1x = 45 + -55 Combine like terms: 55 + -55 = 0 0 + -0.1x = 45 + -55 -0.1x = 45 + -55 Combine like terms: 45 + -55 = -10 -0.1x = -10 Divide each side by '-0.1'. x = 100 Simplifying x = 100
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