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Simplifying 1000(8x + -10) = 50(622 + 100x) Reorder the terms: 1000(-10 + 8x) = 50(622 + 100x) (-10 * 1000 + 8x * 1000) = 50(622 + 100x) (-10000 + 8000x) = 50(622 + 100x) -10000 + 8000x = (622 * 50 + 100x * 50) -10000 + 8000x = (31100 + 5000x) Solving -10000 + 8000x = 31100 + 5000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5000x' to each side of the equation. -10000 + 8000x + -5000x = 31100 + 5000x + -5000x Combine like terms: 8000x + -5000x = 3000x -10000 + 3000x = 31100 + 5000x + -5000x Combine like terms: 5000x + -5000x = 0 -10000 + 3000x = 31100 + 0 -10000 + 3000x = 31100 Add '10000' to each side of the equation. -10000 + 10000 + 3000x = 31100 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 3000x = 31100 + 10000 3000x = 31100 + 10000 Combine like terms: 31100 + 10000 = 41100 3000x = 41100 Divide each side by '3000'. x = 13.7 Simplifying x = 13.7
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