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Simplifying 3(2x + -5y) + -2(x + -3y) = 0 (2x * 3 + -5y * 3) + -2(x + -3y) = 0 (6x + -15y) + -2(x + -3y) = 0 6x + -15y + (x * -2 + -3y * -2) = 0 6x + -15y + (-2x + 6y) = 0 Reorder the terms: 6x + -2x + -15y + 6y = 0 Combine like terms: 6x + -2x = 4x 4x + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 4x + -9y = 0 Solving 4x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 4x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 4x + 0 = 0 + 9y 4x = 0 + 9y Remove the zero: 4x = 9y Divide each side by '4'. x = 2.25y Simplifying x = 2.25y
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