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Simplifying 1000(8x + -10) = 40(780 + 100x) Reorder the terms: 1000(-10 + 8x) = 40(780 + 100x) (-10 * 1000 + 8x * 1000) = 40(780 + 100x) (-10000 + 8000x) = 40(780 + 100x) -10000 + 8000x = (780 * 40 + 100x * 40) -10000 + 8000x = (31200 + 4000x) Solving -10000 + 8000x = 31200 + 4000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4000x' to each side of the equation. -10000 + 8000x + -4000x = 31200 + 4000x + -4000x Combine like terms: 8000x + -4000x = 4000x -10000 + 4000x = 31200 + 4000x + -4000x Combine like terms: 4000x + -4000x = 0 -10000 + 4000x = 31200 + 0 -10000 + 4000x = 31200 Add '10000' to each side of the equation. -10000 + 10000 + 4000x = 31200 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 4000x = 31200 + 10000 4000x = 31200 + 10000 Combine like terms: 31200 + 10000 = 41200 4000x = 41200 Divide each side by '4000'. x = 10.3 Simplifying x = 10.3
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