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Simplifying 6x + -3y + -1z + 2x + 3y + -7z = 0 Reorder the terms: 6x + 2x + -3y + 3y + -1z + -7z = 0 Combine like terms: 6x + 2x = 8x 8x + -3y + 3y + -1z + -7z = 0 Combine like terms: -3y + 3y = 0 8x + 0 + -1z + -7z = 0 8x + -1z + -7z = 0 Combine like terms: -1z + -7z = -8z 8x + -8z = 0 Solving 8x + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8z' to each side of the equation. 8x + -8z + 8z = 0 + 8z Combine like terms: -8z + 8z = 0 8x + 0 = 0 + 8z 8x = 0 + 8z Remove the zero: 8x = 8z Divide each side by '8'. x = z Simplifying x = z
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