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Simplifying (x + y + 3z) + -1(2x + -5y + z) = 0 Remove parenthesis around (x + y + 3z) x + y + 3z + -1(2x + -5y + z) = 0 x + y + 3z + (2x * -1 + -5y * -1 + z * -1) = 0 x + y + 3z + (-2x + 5y + -1z) = 0 Reorder the terms: x + -2x + y + 5y + 3z + -1z = 0 Combine like terms: x + -2x = -1x -1x + y + 5y + 3z + -1z = 0 Combine like terms: y + 5y = 6y -1x + 6y + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z -1x + 6y + 2z = 0 Solving -1x + 6y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -1x + 6y + -6y + 2z = 0 + -6y Combine like terms: 6y + -6y = 0 -1x + 0 + 2z = 0 + -6y -1x + 2z = 0 + -6y Remove the zero: -1x + 2z = -6y Add '-2z' to each side of the equation. -1x + 2z + -2z = -6y + -2z Combine like terms: 2z + -2z = 0 -1x + 0 = -6y + -2z -1x = -6y + -2z Divide each side by '-1'. x = 6y + 2z Simplifying x = 6y + 2z
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