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Simplifying 75x + 350 = 100x + 200 Reorder the terms: 350 + 75x = 100x + 200 Reorder the terms: 350 + 75x = 200 + 100x Solving 350 + 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. 350 + 75x + -100x = 200 + 100x + -100x Combine like terms: 75x + -100x = -25x 350 + -25x = 200 + 100x + -100x Combine like terms: 100x + -100x = 0 350 + -25x = 200 + 0 350 + -25x = 200 Add '-350' to each side of the equation. 350 + -350 + -25x = 200 + -350 Combine like terms: 350 + -350 = 0 0 + -25x = 200 + -350 -25x = 200 + -350 Combine like terms: 200 + -350 = -150 -25x = -150 Divide each side by '-25'. x = 6 Simplifying x = 6
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