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Simplifying 1000(7x + -10) = 50(412 + 100) Reorder the terms: 1000(-10 + 7x) = 50(412 + 100) (-10 * 1000 + 7x * 1000) = 50(412 + 100) (-10000 + 7000x) = 50(412 + 100) Combine like terms: 412 + 100 = 512 -10000 + 7000x = 50(512) Multiply 50 * 512 -10000 + 7000x = 25600 Solving -10000 + 7000x = 25600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10000' to each side of the equation. -10000 + 10000 + 7000x = 25600 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 7000x = 25600 + 10000 7000x = 25600 + 10000 Combine like terms: 25600 + 10000 = 35600 7000x = 35600 Divide each side by '7000'. x = 5.085714286 Simplifying x = 5.085714286
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