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Simplifying x + y = 6x + 7y Solving x + y = 6x + 7y 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. x + -6x + y = 6x + -6x + 7y Combine like terms: x + -6x = -5x -5x + y = 6x + -6x + 7y Combine like terms: 6x + -6x = 0 -5x + y = 0 + 7y -5x + y = 7y Add '-1y' to each side of the equation. -5x + y + -1y = 7y + -1y Combine like terms: y + -1y = 0 -5x + 0 = 7y + -1y -5x = 7y + -1y Combine like terms: 7y + -1y = 6y -5x = 6y Divide each side by '-5'. x = -1.2y Simplifying x = -1.2y
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