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Simplifying (8x + -1y + 3z) + (4x + -2y + -5z) = 0 Remove parenthesis around (8x + -1y + 3z) 8x + -1y + 3z + (4x + -2y + -5z) = 0 Remove parenthesis around (4x + -2y + -5z) 8x + -1y + 3z + 4x + -2y + -5z = 0 Reorder the terms: 8x + 4x + -1y + -2y + 3z + -5z = 0 Combine like terms: 8x + 4x = 12x 12x + -1y + -2y + 3z + -5z = 0 Combine like terms: -1y + -2y = -3y 12x + -3y + 3z + -5z = 0 Combine like terms: 3z + -5z = -2z 12x + -3y + -2z = 0 Solving 12x + -3y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 12x + -3y + 3y + -2z = 0 + 3y Combine like terms: -3y + 3y = 0 12x + 0 + -2z = 0 + 3y 12x + -2z = 0 + 3y Remove the zero: 12x + -2z = 3y Add '2z' to each side of the equation. 12x + -2z + 2z = 3y + 2z Combine like terms: -2z + 2z = 0 12x + 0 = 3y + 2z 12x = 3y + 2z Divide each side by '12'. x = 0.25y + 0.1666666667z Simplifying x = 0.25y + 0.1666666667z
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