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Simplifying 78(X + 200) + 72(X + -200) = 9600000 Reorder the terms: 78(200 + X) + 72(X + -200) = 9600000 (200 * 78 + X * 78) + 72(X + -200) = 9600000 (15600 + 78X) + 72(X + -200) = 9600000 Reorder the terms: 15600 + 78X + 72(-200 + X) = 9600000 15600 + 78X + (-200 * 72 + X * 72) = 9600000 15600 + 78X + (-14400 + 72X) = 9600000 Reorder the terms: 15600 + -14400 + 78X + 72X = 9600000 Combine like terms: 15600 + -14400 = 1200 1200 + 78X + 72X = 9600000 Combine like terms: 78X + 72X = 150X 1200 + 150X = 9600000 Solving 1200 + 150X = 9600000 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + 150X = 9600000 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 150X = 9600000 + -1200 150X = 9600000 + -1200 Combine like terms: 9600000 + -1200 = 9598800 150X = 9598800 Divide each side by '150'. X = 63992 Simplifying X = 63992
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