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Simplifying -1[z + -3y + -1(3x + -1z + -2y) + 3z + 2y] + -1x = 0 Reorder the terms: -1[z + -3y + -1(3x + -2y + -1z) + 3z + 2y] + -1x = 0 -1[z + -3y + (3x * -1 + -2y * -1 + -1z * -1) + 3z + 2y] + -1x = 0 -1[z + -3y + (-3x + 2y + 1z) + 3z + 2y] + -1x = 0 Reorder the terms: -1[-3x + -3y + 2y + 2y + z + 1z + 3z] + -1x = 0 Combine like terms: -3y + 2y = -1y -1[-3x + -1y + 2y + z + 1z + 3z] + -1x = 0 Combine like terms: -1y + 2y = 1y -1[-3x + 1y + z + 1z + 3z] + -1x = 0 Combine like terms: z + 1z = 2z -1[-3x + 1y + 2z + 3z] + -1x = 0 Combine like terms: 2z + 3z = 5z -1[-3x + 1y + 5z] + -1x = 0 [-3x * -1 + 1y * -1 + 5z * -1] + -1x = 0 [3x + -1y + -5z] + -1x = 0 Reorder the terms: 3x + -1x + -1y + -5z = 0 Combine like terms: 3x + -1x = 2x 2x + -1y + -5z = 0 Solving 2x + -1y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y + -5z = 0 + y Combine like terms: -1y + y = 0 2x + 0 + -5z = 0 + y 2x + -5z = 0 + y Remove the zero: 2x + -5z = y Add '5z' to each side of the equation. 2x + -5z + 5z = y + 5z Combine like terms: -5z + 5z = 0 2x + 0 = y + 5z 2x = y + 5z Divide each side by '2'. x = 0.5y + 2.5z Simplifying x = 0.5y + 2.5z
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