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Simplifying 75x + 300 = 100x + 200 Reorder the terms: 300 + 75x = 100x + 200 Reorder the terms: 300 + 75x = 200 + 100x Solving 300 + 75x = 200 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 300 + 75x + -100x = 200 + 100x + -100x Combine like terms: 75x + -100x = -25x 300 + -25x = 200 + 100x + -100x Combine like terms: 100x + -100x = 0 300 + -25x = 200 + 0 300 + -25x = 200 Add '-300' to each side of the equation. 300 + -300 + -25x = 200 + -300 Combine like terms: 300 + -300 = 0 0 + -25x = 200 + -300 -25x = 200 + -300 Combine like terms: 200 + -300 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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