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Simplifying 3(2x + -3y) + -2(5x + 6y) = 0 (2x * 3 + -3y * 3) + -2(5x + 6y) = 0 (6x + -9y) + -2(5x + 6y) = 0 6x + -9y + (5x * -2 + 6y * -2) = 0 6x + -9y + (-10x + -12y) = 0 Reorder the terms: 6x + -10x + -9y + -12y = 0 Combine like terms: 6x + -10x = -4x -4x + -9y + -12y = 0 Combine like terms: -9y + -12y = -21y -4x + -21y = 0 Solving -4x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. -4x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 -4x + 0 = 0 + 21y -4x = 0 + 21y Remove the zero: -4x = 21y Divide each side by '-4'. x = -5.25y Simplifying x = -5.25y
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