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Simplifying 10x + y = 2(10y + 2x) Reorder the terms: 10x + y = 2(2x + 10y) 10x + y = (2x * 2 + 10y * 2) 10x + y = (4x + 20y) Solving 10x + y = 4x + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10x + -4x + y = 4x + -4x + 20y Combine like terms: 10x + -4x = 6x 6x + y = 4x + -4x + 20y Combine like terms: 4x + -4x = 0 6x + y = 0 + 20y 6x + y = 20y Add '-1y' to each side of the equation. 6x + y + -1y = 20y + -1y Combine like terms: y + -1y = 0 6x + 0 = 20y + -1y 6x = 20y + -1y Combine like terms: 20y + -1y = 19y 6x = 19y Divide each side by '6'. x = 3.166666667y Simplifying x = 3.166666667y
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