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Simplifying -2x + -6y + 7z = 0 Solving -2x + -6y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -2x + -6y + 6y + 7z = 0 + 6y Combine like terms: -6y + 6y = 0 -2x + 0 + 7z = 0 + 6y -2x + 7z = 0 + 6y Remove the zero: -2x + 7z = 6y Add '-7z' to each side of the equation. -2x + 7z + -7z = 6y + -7z Combine like terms: 7z + -7z = 0 -2x + 0 = 6y + -7z -2x = 6y + -7z Divide each side by '-2'. x = -3y + 3.5z Simplifying x = -3y + 3.5z
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