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Simplifying (4x + 3y + -8z) + (-5x + 7y + 10z) + (-4x + -3y + -8z) = 0 Remove parenthesis around (4x + 3y + -8z) 4x + 3y + -8z + (-5x + 7y + 10z) + (-4x + -3y + -8z) = 0 Remove parenthesis around (-5x + 7y + 10z) 4x + 3y + -8z + -5x + 7y + 10z + (-4x + -3y + -8z) = 0 Remove parenthesis around (-4x + -3y + -8z) 4x + 3y + -8z + -5x + 7y + 10z + -4x + -3y + -8z = 0 Reorder the terms: 4x + -5x + -4x + 3y + 7y + -3y + -8z + 10z + -8z = 0 Combine like terms: 4x + -5x = -1x -1x + -4x + 3y + 7y + -3y + -8z + 10z + -8z = 0 Combine like terms: -1x + -4x = -5x -5x + 3y + 7y + -3y + -8z + 10z + -8z = 0 Combine like terms: 3y + 7y = 10y -5x + 10y + -3y + -8z + 10z + -8z = 0 Combine like terms: 10y + -3y = 7y -5x + 7y + -8z + 10z + -8z = 0 Combine like terms: -8z + 10z = 2z -5x + 7y + 2z + -8z = 0 Combine like terms: 2z + -8z = -6z -5x + 7y + -6z = 0 Solving -5x + 7y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -5x + 7y + -7y + -6z = 0 + -7y Combine like terms: 7y + -7y = 0 -5x + 0 + -6z = 0 + -7y -5x + -6z = 0 + -7y Remove the zero: -5x + -6z = -7y Add '6z' to each side of the equation. -5x + -6z + 6z = -7y + 6z Combine like terms: -6z + 6z = 0 -5x + 0 = -7y + 6z -5x = -7y + 6z Divide each side by '-5'. x = 1.4y + -1.2z Simplifying x = 1.4y + -1.2z
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