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Simplifying 1000(6x + -10) = 20(1560 + -100x) Reorder the terms: 1000(-10 + 6x) = 20(1560 + -100x) (-10 * 1000 + 6x * 1000) = 20(1560 + -100x) (-10000 + 6000x) = 20(1560 + -100x) -10000 + 6000x = (1560 * 20 + -100x * 20) -10000 + 6000x = (31200 + -2000x) Solving -10000 + 6000x = 31200 + -2000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2000x' to each side of the equation. -10000 + 6000x + 2000x = 31200 + -2000x + 2000x Combine like terms: 6000x + 2000x = 8000x -10000 + 8000x = 31200 + -2000x + 2000x Combine like terms: -2000x + 2000x = 0 -10000 + 8000x = 31200 + 0 -10000 + 8000x = 31200 Add '10000' to each side of the equation. -10000 + 10000 + 8000x = 31200 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 8000x = 31200 + 10000 8000x = 31200 + 10000 Combine like terms: 31200 + 10000 = 41200 8000x = 41200 Divide each side by '8000'. x = 5.15 Simplifying x = 5.15
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