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Simplifying 5(2x + -3y) = 0 (2x * 5 + -3y * 5) = 0 (10x + -15y) = 0 Solving 10x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 10x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 10x + 0 = 0 + 15y 10x = 0 + 15y Remove the zero: 10x = 15y Divide each side by '10'. x = 1.5y Simplifying x = 1.5y
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