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Simplifying 2(3x + -2y) + 3x + 5y = 0 (3x * 2 + -2y * 2) + 3x + 5y = 0 (6x + -4y) + 3x + 5y = 0 Reorder the terms: 6x + 3x + -4y + 5y = 0 Combine like terms: 6x + 3x = 9x 9x + -4y + 5y = 0 Combine like terms: -4y + 5y = 1y 9x + 1y = 0 Solving 9x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 9x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 9x + 0 = 0 + -1y 9x = 0 + -1y Remove the zero: 9x = -1y Divide each side by '9'. x = -0.1111111111y Simplifying x = -0.1111111111y
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