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Simplifying 1000(6x + -10) = 20(1800 + 100x) Reorder the terms: 1000(-10 + 6x) = 20(1800 + 100x) (-10 * 1000 + 6x * 1000) = 20(1800 + 100x) (-10000 + 6000x) = 20(1800 + 100x) -10000 + 6000x = (1800 * 20 + 100x * 20) -10000 + 6000x = (36000 + 2000x) Solving -10000 + 6000x = 36000 + 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 = 36000 + 2000x + -2000x Combine like terms: 6000x + -2000x = 4000x -10000 + 4000x = 36000 + 2000x + -2000x Combine like terms: 2000x + -2000x = 0 -10000 + 4000x = 36000 + 0 -10000 + 4000x = 36000 Add '10000' to each side of the equation. -10000 + 10000 + 4000x = 36000 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 4000x = 36000 + 10000 4000x = 36000 + 10000 Combine like terms: 36000 + 10000 = 46000 4000x = 46000 Divide each side by '4000'. x = 11.5 Simplifying x = 11.5
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