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Simplifying x + y + 2(x + 2y) + -3(2x + -1y) = 0 x + y + (x * 2 + 2y * 2) + -3(2x + -1y) = 0 x + y + (2x + 4y) + -3(2x + -1y) = 0 x + y + 2x + 4y + (2x * -3 + -1y * -3) = 0 x + y + 2x + 4y + (-6x + 3y) = 0 Reorder the terms: x + 2x + -6x + y + 4y + 3y = 0 Combine like terms: x + 2x = 3x 3x + -6x + y + 4y + 3y = 0 Combine like terms: 3x + -6x = -3x -3x + y + 4y + 3y = 0 Combine like terms: y + 4y = 5y -3x + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -3x + 8y = 0 Solving -3x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -3x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -3x + 0 = 0 + -8y -3x = 0 + -8y Remove the zero: -3x = -8y Divide each side by '-3'. x = 2.666666667y Simplifying x = 2.666666667y
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