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Simplifying 35x + 50 = 30x + 75 Reorder the terms: 50 + 35x = 30x + 75 Reorder the terms: 50 + 35x = 75 + 30x Solving 50 + 35x = 75 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 50 + 35x + -30x = 75 + 30x + -30x Combine like terms: 35x + -30x = 5x 50 + 5x = 75 + 30x + -30x Combine like terms: 30x + -30x = 0 50 + 5x = 75 + 0 50 + 5x = 75 Add '-50' to each side of the equation. 50 + -50 + 5x = 75 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 75 + -50 5x = 75 + -50 Combine like terms: 75 + -50 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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