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Simplifying 7y + 5(y + -1x) + -1x = 0 Reorder the terms: 7y + 5(-1x + y) + -1x = 0 7y + (-1x * 5 + y * 5) + -1x = 0 7y + (-5x + 5y) + -1x = 0 Reorder the terms: -5x + -1x + 7y + 5y = 0 Combine like terms: -5x + -1x = -6x -6x + 7y + 5y = 0 Combine like terms: 7y + 5y = 12y -6x + 12y = 0 Solving -6x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -6x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -6x + 0 = 0 + -12y -6x = 0 + -12y Remove the zero: -6x = -12y Divide each side by '-6'. x = 2y Simplifying x = 2y
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