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Simplifying 50(x + 1) = 75x Reorder the terms: 50(1 + x) = 75x (1 * 50 + x * 50) = 75x (50 + 50x) = 75x Solving 50 + 50x = 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 50 + 50x + -75x = 75x + -75x Combine like terms: 50x + -75x = -25x 50 + -25x = 75x + -75x Combine like terms: 75x + -75x = 0 50 + -25x = 0 Add '-50' to each side of the equation. 50 + -50 + -25x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -25x = 0 + -50 -25x = 0 + -50 Combine like terms: 0 + -50 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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