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Simplifying 3(2x + -4y) + 5y = 0 (2x * 3 + -4y * 3) + 5y = 0 (6x + -12y) + 5y = 0 Combine like terms: -12y + 5y = -7y 6x + -7y = 0 Solving 6x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 0 = 0 + 7y 6x = 0 + 7y Remove the zero: 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667y
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