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Simplifying 3x + 4y + -2z = 17 Solving 3x + 4y + -2z = 17 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 + -2z = 17 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + -2z = 17 + -4y 3x + -2z = 17 + -4y Add '2z' to each side of the equation. 3x + -2z + 2z = 17 + -4y + 2z Combine like terms: -2z + 2z = 0 3x + 0 = 17 + -4y + 2z 3x = 17 + -4y + 2z Divide each side by '3'. x = 5.666666667 + -1.333333333y + 0.6666666667z Simplifying x = 5.666666667 + -1.333333333y + 0.6666666667z
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