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Simplifying -6(x + -1y) + 2(x + y) + -3(x + 2y) = 0 (x * -6 + -1y * -6) + 2(x + y) + -3(x + 2y) = 0 (-6x + 6y) + 2(x + y) + -3(x + 2y) = 0 -6x + 6y + (x * 2 + y * 2) + -3(x + 2y) = 0 -6x + 6y + (2x + 2y) + -3(x + 2y) = 0 -6x + 6y + 2x + 2y + (x * -3 + 2y * -3) = 0 -6x + 6y + 2x + 2y + (-3x + -6y) = 0 Reorder the terms: -6x + 2x + -3x + 6y + 2y + -6y = 0 Combine like terms: -6x + 2x = -4x -4x + -3x + 6y + 2y + -6y = 0 Combine like terms: -4x + -3x = -7x -7x + 6y + 2y + -6y = 0 Combine like terms: 6y + 2y = 8y -7x + 8y + -6y = 0 Combine like terms: 8y + -6y = 2y -7x + 2y = 0 Solving -7x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -7x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -7x + 0 = 0 + -2y -7x = 0 + -2y Remove the zero: -7x = -2y Divide each side by '-7'. x = 0.2857142857y Simplifying x = 0.2857142857y
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