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Simplifying x + -2(x + 3y) + -1(2x + 3y) + -4(x + y) = 0 x + (x * -2 + 3y * -2) + -1(2x + 3y) + -4(x + y) = 0 x + (-2x + -6y) + -1(2x + 3y) + -4(x + y) = 0 x + -2x + -6y + (2x * -1 + 3y * -1) + -4(x + y) = 0 x + -2x + -6y + (-2x + -3y) + -4(x + y) = 0 x + -2x + -6y + -2x + -3y + (x * -4 + y * -4) = 0 x + -2x + -6y + -2x + -3y + (-4x + -4y) = 0 Reorder the terms: x + -2x + -2x + -4x + -6y + -3y + -4y = 0 Combine like terms: x + -2x = -1x -1x + -2x + -4x + -6y + -3y + -4y = 0 Combine like terms: -1x + -2x = -3x -3x + -4x + -6y + -3y + -4y = 0 Combine like terms: -3x + -4x = -7x -7x + -6y + -3y + -4y = 0 Combine like terms: -6y + -3y = -9y -7x + -9y + -4y = 0 Combine like terms: -9y + -4y = -13y -7x + -13y = 0 Solving -7x + -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. -7x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 -7x + 0 = 0 + 13y -7x = 0 + 13y Remove the zero: -7x = 13y Divide each side by '-7'. x = -1.857142857y Simplifying x = -1.857142857y
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