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Simplifying 100x + -75 = 50x + 75 Reorder the terms: -75 + 100x = 50x + 75 Reorder the terms: -75 + 100x = 75 + 50x Solving -75 + 100x = 75 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -75 + 100x + -50x = 75 + 50x + -50x Combine like terms: 100x + -50x = 50x -75 + 50x = 75 + 50x + -50x Combine like terms: 50x + -50x = 0 -75 + 50x = 75 + 0 -75 + 50x = 75 Add '75' to each side of the equation. -75 + 75 + 50x = 75 + 75 Combine like terms: -75 + 75 = 0 0 + 50x = 75 + 75 50x = 75 + 75 Combine like terms: 75 + 75 = 150 50x = 150 Divide each side by '50'. x = 3 Simplifying x = 3
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