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Simplifying -3(2x + 3y) + -1(5x + 3y) = 0 (2x * -3 + 3y * -3) + -1(5x + 3y) = 0 (-6x + -9y) + -1(5x + 3y) = 0 -6x + -9y + (5x * -1 + 3y * -1) = 0 -6x + -9y + (-5x + -3y) = 0 Reorder the terms: -6x + -5x + -9y + -3y = 0 Combine like terms: -6x + -5x = -11x -11x + -9y + -3y = 0 Combine like terms: -9y + -3y = -12y -11x + -12y = 0 Solving -11x + -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. -11x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -11x + 0 = 0 + 12y -11x = 0 + 12y Remove the zero: -11x = 12y Divide each side by '-11'. x = -1.090909091y Simplifying x = -1.090909091y
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