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Simplifying 50 + 50x = 200 + 45x Solving 50 + 50x = 200 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 50 + 50x + -45x = 200 + 45x + -45x Combine like terms: 50x + -45x = 5x 50 + 5x = 200 + 45x + -45x Combine like terms: 45x + -45x = 0 50 + 5x = 200 + 0 50 + 5x = 200 Add '-50' to each side of the equation. 50 + -50 + 5x = 200 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 200 + -50 5x = 200 + -50 Combine like terms: 200 + -50 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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