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Simplifying 1000(8x + -10) = 50(694 + 100) Reorder the terms: 1000(-10 + 8x) = 50(694 + 100) (-10 * 1000 + 8x * 1000) = 50(694 + 100) (-10000 + 8000x) = 50(694 + 100) Combine like terms: 694 + 100 = 794 -10000 + 8000x = 50(794) Multiply 50 * 794 -10000 + 8000x = 39700 Solving -10000 + 8000x = 39700 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10000' to each side of the equation. -10000 + 10000 + 8000x = 39700 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 8000x = 39700 + 10000 8000x = 39700 + 10000 Combine like terms: 39700 + 10000 = 49700 8000x = 49700 Divide each side by '8000'. x = 6.2125 Simplifying x = 6.2125
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