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Simplifying 4(x + 3y) + -2(3x + -1y) = 0 (x * 4 + 3y * 4) + -2(3x + -1y) = 0 (4x + 12y) + -2(3x + -1y) = 0 4x + 12y + (3x * -2 + -1y * -2) = 0 4x + 12y + (-6x + 2y) = 0 Reorder the terms: 4x + -6x + 12y + 2y = 0 Combine like terms: 4x + -6x = -2x -2x + 12y + 2y = 0 Combine like terms: 12y + 2y = 14y -2x + 14y = 0 Solving -2x + 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. -2x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 -2x + 0 = 0 + -14y -2x = 0 + -14y Remove the zero: -2x = -14y Divide each side by '-2'. x = 7y Simplifying x = 7y
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