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Simplifying 2x + 8y + -7(2x + -4y + 8z) = 0 2x + 8y + (2x * -7 + -4y * -7 + 8z * -7) = 0 2x + 8y + (-14x + 28y + -56z) = 0 Reorder the terms: 2x + -14x + 8y + 28y + -56z = 0 Combine like terms: 2x + -14x = -12x -12x + 8y + 28y + -56z = 0 Combine like terms: 8y + 28y = 36y -12x + 36y + -56z = 0 Solving -12x + 36y + -56z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36y' to each side of the equation. -12x + 36y + -36y + -56z = 0 + -36y Combine like terms: 36y + -36y = 0 -12x + 0 + -56z = 0 + -36y -12x + -56z = 0 + -36y Remove the zero: -12x + -56z = -36y Add '56z' to each side of the equation. -12x + -56z + 56z = -36y + 56z Combine like terms: -56z + 56z = 0 -12x + 0 = -36y + 56z -12x = -36y + 56z Divide each side by '-12'. x = 3y + -4.666666667z Simplifying x = 3y + -4.666666667z
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