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Simplifying 5x + 50(102 + -1x) = 2580 5x + (102 * 50 + -1x * 50) = 2580 5x + (5100 + -50x) = 2580 Reorder the terms: 5100 + 5x + -50x = 2580 Combine like terms: 5x + -50x = -45x 5100 + -45x = 2580 Solving 5100 + -45x = 2580 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5100' to each side of the equation. 5100 + -5100 + -45x = 2580 + -5100 Combine like terms: 5100 + -5100 = 0 0 + -45x = 2580 + -5100 -45x = 2580 + -5100 Combine like terms: 2580 + -5100 = -2520 -45x = -2520 Divide each side by '-45'. x = 56 Simplifying x = 56
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