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Simplifying 2y2 + z2 + -1x + -12y + -6z + 27 = 0 Reorder the terms: 27 + -1x + -12y + 2y2 + -6z + z2 = 0 Solving 27 + -1x + -12y + 2y2 + -6z + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -1x + -12y + 2y2 + -6z + -27 + z2 = 0 + -27 Reorder the terms: 27 + -27 + -1x + -12y + 2y2 + -6z + z2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x + -12y + 2y2 + -6z + z2 = 0 + -27 -1x + -12y + 2y2 + -6z + z2 = 0 + -27 Combine like terms: 0 + -27 = -27 -1x + -12y + 2y2 + -6z + z2 = -27 Add '12y' to each side of the equation. -1x + -12y + 2y2 + -6z + 12y + z2 = -27 + 12y Reorder the terms: -1x + -12y + 12y + 2y2 + -6z + z2 = -27 + 12y Combine like terms: -12y + 12y = 0 -1x + 0 + 2y2 + -6z + z2 = -27 + 12y -1x + 2y2 + -6z + z2 = -27 + 12y Add '-2y2' to each side of the equation. -1x + 2y2 + -6z + -2y2 + z2 = -27 + 12y + -2y2 Reorder the terms: -1x + 2y2 + -2y2 + -6z + z2 = -27 + 12y + -2y2 Combine like terms: 2y2 + -2y2 = 0 -1x + 0 + -6z + z2 = -27 + 12y + -2y2 -1x + -6z + z2 = -27 + 12y + -2y2 Add '6z' to each side of the equation. -1x + -6z + 6z + z2 = -27 + 12y + -2y2 + 6z Combine like terms: -6z + 6z = 0 -1x + 0 + z2 = -27 + 12y + -2y2 + 6z -1x + z2 = -27 + 12y + -2y2 + 6z Add '-1z2' to each side of the equation. -1x + z2 + -1z2 = -27 + 12y + -2y2 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 -1x + 0 = -27 + 12y + -2y2 + 6z + -1z2 -1x = -27 + 12y + -2y2 + 6z + -1z2 Divide each side by '-1'. x = 27 + -12y + 2y2 + -6z + z2 Simplifying x = 27 + -12y + 2y2 + -6z + z2
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