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Simplifying -1x + 4y2 + -16y + z2 + -4z + 20 = 0 Reorder the terms: 20 + -1x + -16y + 4y2 + -4z + z2 = 0 Solving 20 + -1x + -16y + 4y2 + -4z + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -1x + -16y + 4y2 + -4z + -20 + z2 = 0 + -20 Reorder the terms: 20 + -20 + -1x + -16y + 4y2 + -4z + z2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x + -16y + 4y2 + -4z + z2 = 0 + -20 -1x + -16y + 4y2 + -4z + z2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x + -16y + 4y2 + -4z + z2 = -20 Add '16y' to each side of the equation. -1x + -16y + 4y2 + -4z + 16y + z2 = -20 + 16y Reorder the terms: -1x + -16y + 16y + 4y2 + -4z + z2 = -20 + 16y Combine like terms: -16y + 16y = 0 -1x + 0 + 4y2 + -4z + z2 = -20 + 16y -1x + 4y2 + -4z + z2 = -20 + 16y Add '-4y2' to each side of the equation. -1x + 4y2 + -4z + -4y2 + z2 = -20 + 16y + -4y2 Reorder the terms: -1x + 4y2 + -4y2 + -4z + z2 = -20 + 16y + -4y2 Combine like terms: 4y2 + -4y2 = 0 -1x + 0 + -4z + z2 = -20 + 16y + -4y2 -1x + -4z + z2 = -20 + 16y + -4y2 Add '4z' to each side of the equation. -1x + -4z + 4z + z2 = -20 + 16y + -4y2 + 4z Combine like terms: -4z + 4z = 0 -1x + 0 + z2 = -20 + 16y + -4y2 + 4z -1x + z2 = -20 + 16y + -4y2 + 4z Add '-1z2' to each side of the equation. -1x + z2 + -1z2 = -20 + 16y + -4y2 + 4z + -1z2 Combine like terms: z2 + -1z2 = 0 -1x + 0 = -20 + 16y + -4y2 + 4z + -1z2 -1x = -20 + 16y + -4y2 + 4z + -1z2 Divide each side by '-1'. x = 20 + -16y + 4y2 + -4z + z2 Simplifying x = 20 + -16y + 4y2 + -4z + z2
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