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Simplifying 45x + 30 = 35x + 50 Reorder the terms: 30 + 45x = 35x + 50 Reorder the terms: 30 + 45x = 50 + 35x Solving 30 + 45x = 50 + 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. 30 + 45x + -35x = 50 + 35x + -35x Combine like terms: 45x + -35x = 10x 30 + 10x = 50 + 35x + -35x Combine like terms: 35x + -35x = 0 30 + 10x = 50 + 0 30 + 10x = 50 Add '-30' to each side of the equation. 30 + -30 + 10x = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 50 + -30 10x = 50 + -30 Combine like terms: 50 + -30 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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