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Simplifying 2(100x + y) + 20 = 100y + x (100x * 2 + y * 2) + 20 = 100y + x (200x + 2y) + 20 = 100y + x Reorder the terms: 20 + 200x + 2y = 100y + x Reorder the terms: 20 + 200x + 2y = x + 100y Solving 20 + 200x + 2y = 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. 20 + 200x + -1x + 2y = x + -1x + 100y Combine like terms: 200x + -1x = 199x 20 + 199x + 2y = x + -1x + 100y Combine like terms: x + -1x = 0 20 + 199x + 2y = 0 + 100y 20 + 199x + 2y = 100y Add '-20' to each side of the equation. 20 + 199x + -20 + 2y = -20 + 100y Reorder the terms: 20 + -20 + 199x + 2y = -20 + 100y Combine like terms: 20 + -20 = 0 0 + 199x + 2y = -20 + 100y 199x + 2y = -20 + 100y Add '-2y' to each side of the equation. 199x + 2y + -2y = -20 + 100y + -2y Combine like terms: 2y + -2y = 0 199x + 0 = -20 + 100y + -2y 199x = -20 + 100y + -2y Combine like terms: 100y + -2y = 98y 199x = -20 + 98y Divide each side by '199'. x = -0.1005025126 + 0.4924623116y Simplifying x = -0.1005025126 + 0.4924623116y
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