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Simplifying (2x + -3y + -1z) + -1(y + -2x + -3y) = 0 Remove parenthesis around (2x + -3y + -1z) 2x + -3y + -1z + -1(y + -2x + -3y) = 0 Reorder the terms: 2x + -3y + -1z + -1(-2x + y + -3y) = 0 Combine like terms: y + -3y = -2y 2x + -3y + -1z + -1(-2x + -2y) = 0 2x + -3y + -1z + (-2x * -1 + -2y * -1) = 0 2x + -3y + -1z + (2x + 2y) = 0 Reorder the terms: 2x + 2x + -3y + 2y + -1z = 0 Combine like terms: 2x + 2x = 4x 4x + -3y + 2y + -1z = 0 Combine like terms: -3y + 2y = -1y 4x + -1y + -1z = 0 Solving 4x + -1y + -1z = 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. 4x + -1y + y + -1z = 0 + y Combine like terms: -1y + y = 0 4x + 0 + -1z = 0 + y 4x + -1z = 0 + y Remove the zero: 4x + -1z = y Add 'z' to each side of the equation. 4x + -1z + z = y + z Combine like terms: -1z + z = 0 4x + 0 = y + z 4x = y + z Divide each side by '4'. x = 0.25y + 0.25z Simplifying x = 0.25y + 0.25z
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