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Simplifying 3(x + 4y) + -2(3x + -1y) = 0 (x * 3 + 4y * 3) + -2(3x + -1y) = 0 (3x + 12y) + -2(3x + -1y) = 0 3x + 12y + (3x * -2 + -1y * -2) = 0 3x + 12y + (-6x + 2y) = 0 Reorder the terms: 3x + -6x + 12y + 2y = 0 Combine like terms: 3x + -6x = -3x -3x + 12y + 2y = 0 Combine like terms: 12y + 2y = 14y -3x + 14y = 0 Solving -3x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. -3x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 -3x + 0 = 0 + -14y -3x = 0 + -14y Remove the zero: -3x = -14y Divide each side by '-3'. x = 4.666666667y Simplifying x = 4.666666667y
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