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Simplifying 3(2x + -3y) + 2x + 5y = 0 (2x * 3 + -3y * 3) + 2x + 5y = 0 (6x + -9y) + 2x + 5y = 0 Reorder the terms: 6x + 2x + -9y + 5y = 0 Combine like terms: 6x + 2x = 8x 8x + -9y + 5y = 0 Combine like terms: -9y + 5y = -4y 8x + -4y = 0 Solving 8x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 8x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = 0 + 4y 8x = 0 + 4y Remove the zero: 8x = 4y Divide each side by '8'. x = 0.5y Simplifying x = 0.5y
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