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