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Simplifying 25x + 1 + 25x + -2 + 20x + -1 = 278 Reorder the terms: 1 + -2 + -1 + 25x + 25x + 20x = 278 Combine like terms: 1 + -2 = -1 -1 + -1 + 25x + 25x + 20x = 278 Combine like terms: -1 + -1 = -2 -2 + 25x + 25x + 20x = 278 Combine like terms: 25x + 25x = 50x -2 + 50x + 20x = 278 Combine like terms: 50x + 20x = 70x -2 + 70x = 278 Solving -2 + 70x = 278 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 70x = 278 + 2 Combine like terms: -2 + 2 = 0 0 + 70x = 278 + 2 70x = 278 + 2 Combine like terms: 278 + 2 = 280 70x = 280 Divide each side by '70'. x = 4 Simplifying x = 4
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