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Simplifying 7x + 3y + 5z + -4x + 2z + -4 = 0 Reorder the terms: -4 + 7x + -4x + 3y + 5z + 2z = 0 Combine like terms: 7x + -4x = 3x -4 + 3x + 3y + 5z + 2z = 0 Combine like terms: 5z + 2z = 7z -4 + 3x + 3y + 7z = 0 Solving -4 + 3x + 3y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3x + 3y + 4 + 7z = 0 + 4 Reorder the terms: -4 + 4 + 3x + 3y + 7z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x + 3y + 7z = 0 + 4 3x + 3y + 7z = 0 + 4 Combine like terms: 0 + 4 = 4 3x + 3y + 7z = 4 Add '-3y' to each side of the equation. 3x + 3y + -3y + 7z = 4 + -3y Combine like terms: 3y + -3y = 0 3x + 0 + 7z = 4 + -3y 3x + 7z = 4 + -3y Add '-7z' to each side of the equation. 3x + 7z + -7z = 4 + -3y + -7z Combine like terms: 7z + -7z = 0 3x + 0 = 4 + -3y + -7z 3x = 4 + -3y + -7z Divide each side by '3'. x = 1.333333333 + -1y + -2.333333333z Simplifying x = 1.333333333 + -1y + -2.333333333z
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