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Simplifying 2(100x + y) = (100y + x) + -1000 (100x * 2 + y * 2) = (100y + x) + -1000 (200x + 2y) = (100y + x) + -1000 Reorder the terms: 200x + 2y = (x + 100y) + -1000 Remove parenthesis around (x + 100y) 200x + 2y = x + 100y + -1000 Reorder the terms: 200x + 2y = -1000 + x + 100y Solving 200x + 2y = -1000 + x + 100y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 200x + -1x + 2y = -1000 + x + -1x + 100y Combine like terms: 200x + -1x = 199x 199x + 2y = -1000 + x + -1x + 100y Combine like terms: x + -1x = 0 199x + 2y = -1000 + 0 + 100y 199x + 2y = -1000 + 100y Add '-2y' to each side of the equation. 199x + 2y + -2y = -1000 + 100y + -2y Combine like terms: 2y + -2y = 0 199x + 0 = -1000 + 100y + -2y 199x = -1000 + 100y + -2y Combine like terms: 100y + -2y = 98y 199x = -1000 + 98y Divide each side by '199'. x = -5.025125628 + 0.4924623116y Simplifying x = -5.025125628 + 0.4924623116y
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