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Simplifying -2(x + 2y) + 3(3x + -3y) = 0 (x * -2 + 2y * -2) + 3(3x + -3y) = 0 (-2x + -4y) + 3(3x + -3y) = 0 -2x + -4y + (3x * 3 + -3y * 3) = 0 -2x + -4y + (9x + -9y) = 0 Reorder the terms: -2x + 9x + -4y + -9y = 0 Combine like terms: -2x + 9x = 7x 7x + -4y + -9y = 0 Combine like terms: -4y + -9y = -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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