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Simplifying 4x + 6y + -4(4x + -8y + 9z) = 0 4x + 6y + (4x * -4 + -8y * -4 + 9z * -4) = 0 4x + 6y + (-16x + 32y + -36z) = 0 Reorder the terms: 4x + -16x + 6y + 32y + -36z = 0 Combine like terms: 4x + -16x = -12x -12x + 6y + 32y + -36z = 0 Combine like terms: 6y + 32y = 38y -12x + 38y + -36z = 0 Solving -12x + 38y + -36z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. -12x + 38y + -38y + -36z = 0 + -38y Combine like terms: 38y + -38y = 0 -12x + 0 + -36z = 0 + -38y -12x + -36z = 0 + -38y Remove the zero: -12x + -36z = -38y Add '36z' to each side of the equation. -12x + -36z + 36z = -38y + 36z Combine like terms: -36z + 36z = 0 -12x + 0 = -38y + 36z -12x = -38y + 36z Divide each side by '-12'. x = 3.166666667y + -3z Simplifying x = 3.166666667y + -3z
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