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Simplifying -8(x + -5y + -7z) = 0 (x * -8 + -5y * -8 + -7z * -8) = 0 (-8x + 40y + 56z) = 0 Solving -8x + 40y + 56z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. -8x + 40y + -40y + 56z = 0 + -40y Combine like terms: 40y + -40y = 0 -8x + 0 + 56z = 0 + -40y -8x + 56z = 0 + -40y Remove the zero: -8x + 56z = -40y Add '-56z' to each side of the equation. -8x + 56z + -56z = -40y + -56z Combine like terms: 56z + -56z = 0 -8x + 0 = -40y + -56z -8x = -40y + -56z Divide each side by '-8'. x = 5y + 7z Simplifying x = 5y + 7z
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