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Simplifying 4x + 6y + -32 + 8x + -7y + 6 + -2z + 4 = 0 Reorder the terms: -32 + 6 + 4 + 4x + 8x + 6y + -7y + -2z = 0 Combine like terms: -32 + 6 = -26 -26 + 4 + 4x + 8x + 6y + -7y + -2z = 0 Combine like terms: -26 + 4 = -22 -22 + 4x + 8x + 6y + -7y + -2z = 0 Combine like terms: 4x + 8x = 12x -22 + 12x + 6y + -7y + -2z = 0 Combine like terms: 6y + -7y = -1y -22 + 12x + -1y + -2z = 0 Solving -22 + 12x + -1y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 12x + -1y + 22 + -2z = 0 + 22 Reorder the terms: -22 + 22 + 12x + -1y + -2z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 12x + -1y + -2z = 0 + 22 12x + -1y + -2z = 0 + 22 Combine like terms: 0 + 22 = 22 12x + -1y + -2z = 22 Add 'y' to each side of the equation. 12x + -1y + y + -2z = 22 + y Combine like terms: -1y + y = 0 12x + 0 + -2z = 22 + y 12x + -2z = 22 + y Add '2z' to each side of the equation. 12x + -2z + 2z = 22 + y + 2z Combine like terms: -2z + 2z = 0 12x + 0 = 22 + y + 2z 12x = 22 + y + 2z Divide each side by '12'. x = 1.833333333 + 0.08333333333y + 0.1666666667z Simplifying x = 1.833333333 + 0.08333333333y + 0.1666666667z
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