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Simplifying 5(2x + 3y) + -3(3x + -5y) = 0 (2x * 5 + 3y * 5) + -3(3x + -5y) = 0 (10x + 15y) + -3(3x + -5y) = 0 10x + 15y + (3x * -3 + -5y * -3) = 0 10x + 15y + (-9x + 15y) = 0 Reorder the terms: 10x + -9x + 15y + 15y = 0 Combine like terms: 10x + -9x = 1x 1x + 15y + 15y = 0 Combine like terms: 15y + 15y = 30y 1x + 30y = 0 Solving 1x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 1x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 1x + 0 = 0 + -30y 1x = 0 + -30y Remove the zero: 1x = -30y Divide each side by '1'. x = -30y Simplifying x = -30y
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