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Simplifying 3[3(x + y) + -3(3x + -4y)] = 0 3[(x * 3 + y * 3) + -3(3x + -4y)] = 0 3[(3x + 3y) + -3(3x + -4y)] = 0 3[3x + 3y + (3x * -3 + -4y * -3)] = 0 3[3x + 3y + (-9x + 12y)] = 0 Reorder the terms: 3[3x + -9x + 3y + 12y] = 0 Combine like terms: 3x + -9x = -6x 3[-6x + 3y + 12y] = 0 Combine like terms: 3y + 12y = 15y 3[-6x + 15y] = 0 [-6x * 3 + 15y * 3] = 0 [-18x + 45y] = 0 Solving -18x + 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. -18x + 45y + -45y = 0 + -45y Combine like terms: 45y + -45y = 0 -18x + 0 = 0 + -45y -18x = 0 + -45y Remove the zero: -18x = -45y Divide each side by '-18'. x = 2.5y Simplifying x = 2.5y
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