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Simplifying 2(x + -3y) + -4(x + 2y) = 0 (x * 2 + -3y * 2) + -4(x + 2y) = 0 (2x + -6y) + -4(x + 2y) = 0 2x + -6y + (x * -4 + 2y * -4) = 0 2x + -6y + (-4x + -8y) = 0 Reorder the terms: 2x + -4x + -6y + -8y = 0 Combine like terms: 2x + -4x = -2x -2x + -6y + -8y = 0 Combine like terms: -6y + -8y = -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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