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Simplifying 3[3(x + y) + -3(4x + -4y)] = 0 3[(x * 3 + y * 3) + -3(4x + -4y)] = 0 3[(3x + 3y) + -3(4x + -4y)] = 0 3[3x + 3y + (4x * -3 + -4y * -3)] = 0 3[3x + 3y + (-12x + 12y)] = 0 Reorder the terms: 3[3x + -12x + 3y + 12y] = 0 Combine like terms: 3x + -12x = -9x 3[-9x + 3y + 12y] = 0 Combine like terms: 3y + 12y = 15y 3[-9x + 15y] = 0 [-9x * 3 + 15y * 3] = 0 [-27x + 45y] = 0 Solving -27x + 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. -27x + 45y + -45y = 0 + -45y Combine like terms: 45y + -45y = 0 -27x + 0 = 0 + -45y -27x = 0 + -45y Remove the zero: -27x = -45y Divide each side by '-27'. x = 1.666666667y Simplifying x = 1.666666667y
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