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Simplifying 45x + 50 = 35x + 75 Reorder the terms: 50 + 45x = 35x + 75 Reorder the terms: 50 + 45x = 75 + 35x Solving 50 + 45x = 75 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 50 + 45x + -35x = 75 + 35x + -35x Combine like terms: 45x + -35x = 10x 50 + 10x = 75 + 35x + -35x Combine like terms: 35x + -35x = 0 50 + 10x = 75 + 0 50 + 10x = 75 Add '-50' to each side of the equation. 50 + -50 + 10x = 75 + -50 Combine like terms: 50 + -50 = 0 0 + 10x = 75 + -50 10x = 75 + -50 Combine like terms: 75 + -50 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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