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Simplifying 6x + 3y + -7z = -11 Solving 6x + 3y + -7z = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 6x + 3y + -3y + -7z = -11 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + -7z = -11 + -3y 6x + -7z = -11 + -3y Add '7z' to each side of the equation. 6x + -7z + 7z = -11 + -3y + 7z Combine like terms: -7z + 7z = 0 6x + 0 = -11 + -3y + 7z 6x = -11 + -3y + 7z Divide each side by '6'. x = -1.833333333 + -0.5y + 1.166666667z Simplifying x = -1.833333333 + -0.5y + 1.166666667z
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