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Simplifying -7x + 3z + -8y + -1x + 12y + 4z + -1z + 5y + -11x = 0 Reorder the terms: -7x + -1x + -11x + -8y + 12y + 5y + 3z + 4z + -1z = 0 Combine like terms: -7x + -1x = -8x -8x + -11x + -8y + 12y + 5y + 3z + 4z + -1z = 0 Combine like terms: -8x + -11x = -19x -19x + -8y + 12y + 5y + 3z + 4z + -1z = 0 Combine like terms: -8y + 12y = 4y -19x + 4y + 5y + 3z + 4z + -1z = 0 Combine like terms: 4y + 5y = 9y -19x + 9y + 3z + 4z + -1z = 0 Combine like terms: 3z + 4z = 7z -19x + 9y + 7z + -1z = 0 Combine like terms: 7z + -1z = 6z -19x + 9y + 6z = 0 Solving -19x + 9y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -19x + 9y + -9y + 6z = 0 + -9y Combine like terms: 9y + -9y = 0 -19x + 0 + 6z = 0 + -9y -19x + 6z = 0 + -9y Remove the zero: -19x + 6z = -9y Add '-6z' to each side of the equation. -19x + 6z + -6z = -9y + -6z Combine like terms: 6z + -6z = 0 -19x + 0 = -9y + -6z -19x = -9y + -6z Divide each side by '-19'. x = 0.4736842105y + 0.3157894737z Simplifying x = 0.4736842105y + 0.3157894737z
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