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Simplifying 6x + 6y + -7(6x + -9y + 9z) = 0 6x + 6y + (6x * -7 + -9y * -7 + 9z * -7) = 0 6x + 6y + (-42x + 63y + -63z) = 0 Reorder the terms: 6x + -42x + 6y + 63y + -63z = 0 Combine like terms: 6x + -42x = -36x -36x + 6y + 63y + -63z = 0 Combine like terms: 6y + 63y = 69y -36x + 69y + -63z = 0 Solving -36x + 69y + -63z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69y' to each side of the equation. -36x + 69y + -69y + -63z = 0 + -69y Combine like terms: 69y + -69y = 0 -36x + 0 + -63z = 0 + -69y -36x + -63z = 0 + -69y Remove the zero: -36x + -63z = -69y Add '63z' to each side of the equation. -36x + -63z + 63z = -69y + 63z Combine like terms: -63z + 63z = 0 -36x + 0 = -69y + 63z -36x = -69y + 63z Divide each side by '-36'. x = 1.916666667y + -1.75z Simplifying x = 1.916666667y + -1.75z
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