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Simplifying 4(x + -3y) + 2(3x + -1y) + y = 0 (x * 4 + -3y * 4) + 2(3x + -1y) + y = 0 (4x + -12y) + 2(3x + -1y) + y = 0 4x + -12y + (3x * 2 + -1y * 2) + y = 0 4x + -12y + (6x + -2y) + y = 0 Reorder the terms: 4x + 6x + -12y + -2y + y = 0 Combine like terms: 4x + 6x = 10x 10x + -12y + -2y + y = 0 Combine like terms: -12y + -2y = -14y 10x + -14y + y = 0 Combine like terms: -14y + y = -13y 10x + -13y = 0 Solving 10x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 10x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 10x + 0 = 0 + 13y 10x = 0 + 13y Remove the zero: 10x = 13y Divide each side by '10'. x = 1.3y Simplifying x = 1.3y
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