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Simplifying 100x + y = x + 50y Solving 100x + y = x + 50y 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. 100x + -1x + y = x + -1x + 50y Combine like terms: 100x + -1x = 99x 99x + y = x + -1x + 50y Combine like terms: x + -1x = 0 99x + y = 0 + 50y 99x + y = 50y Add '-1y' to each side of the equation. 99x + y + -1y = 50y + -1y Combine like terms: y + -1y = 0 99x + 0 = 50y + -1y 99x = 50y + -1y Combine like terms: 50y + -1y = 49y 99x = 49y Divide each side by '99'. x = 0.4949494949y Simplifying x = 0.4949494949y
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