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Simplifying 1000 = 50x + 100y Solving 1000 = 50x + 100y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 1000 + -50x = 50x + -50x + 100y Combine like terms: 50x + -50x = 0 1000 + -50x = 0 + 100y 1000 + -50x = 100y Add '-1000' to each side of the equation. 1000 + -1000 + -50x = -1000 + 100y Combine like terms: 1000 + -1000 = 0 0 + -50x = -1000 + 100y -50x = -1000 + 100y Divide each side by '-50'. x = 20 + -2y Simplifying x = 20 + -2y
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