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Simplifying -3(x + 3y) + 2(2x + y) = 0 (x * -3 + 3y * -3) + 2(2x + y) = 0 (-3x + -9y) + 2(2x + y) = 0 -3x + -9y + (2x * 2 + y * 2) = 0 -3x + -9y + (4x + 2y) = 0 Reorder the terms: -3x + 4x + -9y + 2y = 0 Combine like terms: -3x + 4x = 1x 1x + -9y + 2y = 0 Combine like terms: -9y + 2y = -7y 1x + -7y = 0 Solving 1x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 1x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 1x + 0 = 0 + 7y 1x = 0 + 7y Remove the zero: 1x = 7y Divide each side by '1'. x = 7y Simplifying x = 7y
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