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Simplifying 7x + -12y + 18z + -3x + -8y + 10z = 0 Reorder the terms: 7x + -3x + -12y + -8y + 18z + 10z = 0 Combine like terms: 7x + -3x = 4x 4x + -12y + -8y + 18z + 10z = 0 Combine like terms: -12y + -8y = -20y 4x + -20y + 18z + 10z = 0 Combine like terms: 18z + 10z = 28z 4x + -20y + 28z = 0 Solving 4x + -20y + 28z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 4x + -20y + 20y + 28z = 0 + 20y Combine like terms: -20y + 20y = 0 4x + 0 + 28z = 0 + 20y 4x + 28z = 0 + 20y Remove the zero: 4x + 28z = 20y Add '-28z' to each side of the equation. 4x + 28z + -28z = 20y + -28z Combine like terms: 28z + -28z = 0 4x + 0 = 20y + -28z 4x = 20y + -28z Divide each side by '4'. x = 5y + -7z Simplifying x = 5y + -7z
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