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Simplifying -1(x + -3y) + (6x + 9y) = 0 (x * -1 + -3y * -1) + (6x + 9y) = 0 (-1x + 3y) + (6x + 9y) = 0 Remove parenthesis around (6x + 9y) -1x + 3y + 6x + 9y = 0 Reorder the terms: -1x + 6x + 3y + 9y = 0 Combine like terms: -1x + 6x = 5x 5x + 3y + 9y = 0 Combine like terms: 3y + 9y = 12y 5x + 12y = 0 Solving 5x + 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. 5x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 5x + 0 = 0 + -12y 5x = 0 + -12y Remove the zero: 5x = -12y Divide each side by '5'. x = -2.4y Simplifying x = -2.4y
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