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Simplifying -17(9x + -6y + 7z) = 0 (9x * -17 + -6y * -17 + 7z * -17) = 0 (-153x + 102y + -119z) = 0 Solving -153x + 102y + -119z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102y' to each side of the equation. -153x + 102y + -102y + -119z = 0 + -102y Combine like terms: 102y + -102y = 0 -153x + 0 + -119z = 0 + -102y -153x + -119z = 0 + -102y Remove the zero: -153x + -119z = -102y Add '119z' to each side of the equation. -153x + -119z + 119z = -102y + 119z Combine like terms: -119z + 119z = 0 -153x + 0 = -102y + 119z -153x = -102y + 119z Divide each side by '-153'. x = 0.6666666667y + -0.7777777778z Simplifying x = 0.6666666667y + -0.7777777778z
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