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Simplifying x + -1y + 4z + -5z + 8y = 0 Reorder the terms: x + -1y + 8y + 4z + -5z = 0 Combine like terms: -1y + 8y = 7y x + 7y + 4z + -5z = 0 Combine like terms: 4z + -5z = -1z x + 7y + -1z = 0 Solving x + 7y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. x + 7y + -7y + -1z = 0 + -7y Combine like terms: 7y + -7y = 0 x + 0 + -1z = 0 + -7y x + -1z = 0 + -7y Remove the zero: x + -1z = -7y Add 'z' to each side of the equation. x + -1z + z = -7y + z Combine like terms: -1z + z = 0 x + 0 = -7y + z x = -7y + z Simplifying x = -7y + z
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