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Simplifying 1000(6x + -10) = 40(265 + 100x) Reorder the terms: 1000(-10 + 6x) = 40(265 + 100x) (-10 * 1000 + 6x * 1000) = 40(265 + 100x) (-10000 + 6000x) = 40(265 + 100x) -10000 + 6000x = (265 * 40 + 100x * 40) -10000 + 6000x = (10600 + 4000x) Solving -10000 + 6000x = 10600 + 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 + 6000x + -4000x = 10600 + 4000x + -4000x Combine like terms: 6000x + -4000x = 2000x -10000 + 2000x = 10600 + 4000x + -4000x Combine like terms: 4000x + -4000x = 0 -10000 + 2000x = 10600 + 0 -10000 + 2000x = 10600 Add '10000' to each side of the equation. -10000 + 10000 + 2000x = 10600 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 2000x = 10600 + 10000 2000x = 10600 + 10000 Combine like terms: 10600 + 10000 = 20600 2000x = 20600 Divide each side by '2000'. x = 10.3 Simplifying x = 10.3
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