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Simplifying 5x + 3y = 6x + y Solving 5x + 3y = 6x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5x + -6x + 3y = 6x + -6x + y Combine like terms: 5x + -6x = -1x -1x + 3y = 6x + -6x + y Combine like terms: 6x + -6x = 0 -1x + 3y = 0 + y -1x + 3y = y Add '-3y' to each side of the equation. -1x + 3y + -3y = y + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = y + -3y -1x = y + -3y Combine like terms: y + -3y = -2y -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2y
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