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Simplifying 1000(7x + -10) = 30(1280 + 100x) Reorder the terms: 1000(-10 + 7x) = 30(1280 + 100x) (-10 * 1000 + 7x * 1000) = 30(1280 + 100x) (-10000 + 7000x) = 30(1280 + 100x) -10000 + 7000x = (1280 * 30 + 100x * 30) -10000 + 7000x = (38400 + 3000x) Solving -10000 + 7000x = 38400 + 3000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3000x' to each side of the equation. -10000 + 7000x + -3000x = 38400 + 3000x + -3000x Combine like terms: 7000x + -3000x = 4000x -10000 + 4000x = 38400 + 3000x + -3000x Combine like terms: 3000x + -3000x = 0 -10000 + 4000x = 38400 + 0 -10000 + 4000x = 38400 Add '10000' to each side of the equation. -10000 + 10000 + 4000x = 38400 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 4000x = 38400 + 10000 4000x = 38400 + 10000 Combine like terms: 38400 + 10000 = 48400 4000x = 48400 Divide each side by '4000'. x = 12.1 Simplifying x = 12.1
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