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Simplifying 3[3(x + y) + -6(3x + -2y)] = 0 3[(x * 3 + y * 3) + -6(3x + -2y)] = 0 3[(3x + 3y) + -6(3x + -2y)] = 0 3[3x + 3y + (3x * -6 + -2y * -6)] = 0 3[3x + 3y + (-18x + 12y)] = 0 Reorder the terms: 3[3x + -18x + 3y + 12y] = 0 Combine like terms: 3x + -18x = -15x 3[-15x + 3y + 12y] = 0 Combine like terms: 3y + 12y = 15y 3[-15x + 15y] = 0 [-15x * 3 + 15y * 3] = 0 [-45x + 45y] = 0 Solving -45x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45y' to each side of the equation. -45x + 45y + -45y = 0 + -45y Combine like terms: 45y + -45y = 0 -45x + 0 = 0 + -45y -45x = 0 + -45y Remove the zero: -45x = -45y Divide each side by '-45'. x = y Simplifying x = y
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