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Simplifying 5x + 3y + 7z + -2x + 4z + -7y = 0 Reorder the terms: 5x + -2x + 3y + -7y + 7z + 4z = 0 Combine like terms: 5x + -2x = 3x 3x + 3y + -7y + 7z + 4z = 0 Combine like terms: 3y + -7y = -4y 3x + -4y + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z 3x + -4y + 11z = 0 Solving 3x + -4y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + -4y + 4y + 11z = 0 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 11z = 0 + 4y 3x + 11z = 0 + 4y Remove the zero: 3x + 11z = 4y Add '-11z' to each side of the equation. 3x + 11z + -11z = 4y + -11z Combine like terms: 11z + -11z = 0 3x + 0 = 4y + -11z 3x = 4y + -11z Divide each side by '3'. x = 1.333333333y + -3.666666667z Simplifying x = 1.333333333y + -3.666666667z
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