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Simplifying -2(3x + 2y) + 3(5x + 3y) = 0 (3x * -2 + 2y * -2) + 3(5x + 3y) = 0 (-6x + -4y) + 3(5x + 3y) = 0 -6x + -4y + (5x * 3 + 3y * 3) = 0 -6x + -4y + (15x + 9y) = 0 Reorder the terms: -6x + 15x + -4y + 9y = 0 Combine like terms: -6x + 15x = 9x 9x + -4y + 9y = 0 Combine like terms: -4y + 9y = 5y 9x + 5y = 0 Solving 9x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 9x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 9x + 0 = 0 + -5y 9x = 0 + -5y Remove the zero: 9x = -5y Divide each side by '9'. x = -0.5555555556y Simplifying x = -0.5555555556y
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