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Simplifying 1000(8x + -10) = 60(310 + 100x) Reorder the terms: 1000(-10 + 8x) = 60(310 + 100x) (-10 * 1000 + 8x * 1000) = 60(310 + 100x) (-10000 + 8000x) = 60(310 + 100x) -10000 + 8000x = (310 * 60 + 100x * 60) -10000 + 8000x = (18600 + 6000x) Solving -10000 + 8000x = 18600 + 6000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6000x' to each side of the equation. -10000 + 8000x + -6000x = 18600 + 6000x + -6000x Combine like terms: 8000x + -6000x = 2000x -10000 + 2000x = 18600 + 6000x + -6000x Combine like terms: 6000x + -6000x = 0 -10000 + 2000x = 18600 + 0 -10000 + 2000x = 18600 Add '10000' to each side of the equation. -10000 + 10000 + 2000x = 18600 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 2000x = 18600 + 10000 2000x = 18600 + 10000 Combine like terms: 18600 + 10000 = 28600 2000x = 28600 Divide each side by '2000'. x = 14.3 Simplifying x = 14.3
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