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Simplifying (X + y + 3z) + -1(4x + -6y + z) = 0 Remove parenthesis around (X + y + 3z) X + y + 3z + -1(4x + -6y + z) = 0 X + y + 3z + (4x * -1 + -6y * -1 + z * -1) = 0 X + y + 3z + (-4x + 6y + -1z) = 0 Reorder the terms: X + -4x + y + 6y + 3z + -1z = 0 Combine like terms: y + 6y = 7y X + -4x + 7y + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z X + -4x + 7y + 2z = 0 Solving X + -4x + 7y + 2z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. X + -4x + 7y + 4x + 2z = 0 + 4x Reorder the terms: X + -4x + 4x + 7y + 2z = 0 + 4x Combine like terms: -4x + 4x = 0 X + 0 + 7y + 2z = 0 + 4x X + 7y + 2z = 0 + 4x Remove the zero: X + 7y + 2z = 4x Add '-7y' to each side of the equation. X + 7y + -7y + 2z = 4x + -7y Combine like terms: 7y + -7y = 0 X + 0 + 2z = 4x + -7y X + 2z = 4x + -7y Add '-2z' to each side of the equation. X + 2z + -2z = 4x + -7y + -2z Combine like terms: 2z + -2z = 0 X + 0 = 4x + -7y + -2z X = 4x + -7y + -2z Simplifying X = 4x + -7y + -2z
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