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Simplifying 25x + -150 + -20x + 75 = 200 + -30x + -100 + -15x + 25 Reorder the terms: -150 + 75 + 25x + -20x = 200 + -30x + -100 + -15x + 25 Combine like terms: -150 + 75 = -75 -75 + 25x + -20x = 200 + -30x + -100 + -15x + 25 Combine like terms: 25x + -20x = 5x -75 + 5x = 200 + -30x + -100 + -15x + 25 Reorder the terms: -75 + 5x = 200 + -100 + 25 + -30x + -15x Combine like terms: 200 + -100 = 100 -75 + 5x = 100 + 25 + -30x + -15x Combine like terms: 100 + 25 = 125 -75 + 5x = 125 + -30x + -15x Combine like terms: -30x + -15x = -45x -75 + 5x = 125 + -45x Solving -75 + 5x = 125 + -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. -75 + 5x + 45x = 125 + -45x + 45x Combine like terms: 5x + 45x = 50x -75 + 50x = 125 + -45x + 45x Combine like terms: -45x + 45x = 0 -75 + 50x = 125 + 0 -75 + 50x = 125 Add '75' to each side of the equation. -75 + 75 + 50x = 125 + 75 Combine like terms: -75 + 75 = 0 0 + 50x = 125 + 75 50x = 125 + 75 Combine like terms: 125 + 75 = 200 50x = 200 Divide each side by '50'. x = 4 Simplifying x = 4
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