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Simplifying 3(x + 2y) + -2(4x + -3y) = 0 (x * 3 + 2y * 3) + -2(4x + -3y) = 0 (3x + 6y) + -2(4x + -3y) = 0 3x + 6y + (4x * -2 + -3y * -2) = 0 3x + 6y + (-8x + 6y) = 0 Reorder the terms: 3x + -8x + 6y + 6y = 0 Combine like terms: 3x + -8x = -5x -5x + 6y + 6y = 0 Combine like terms: 6y + 6y = 12y -5x + 12y = 0 Solving -5x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -5x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -5x + 0 = 0 + -12y -5x = 0 + -12y Remove the zero: -5x = -12y Divide each side by '-5'. x = 2.4y Simplifying x = 2.4y
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