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