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Simplifying 3x + -2y + 4z = 35 Solving 3x + -2y + 4z = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y + 4z = 35 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + 4z = 35 + 2y 3x + 4z = 35 + 2y Add '-4z' to each side of the equation. 3x + 4z + -4z = 35 + 2y + -4z Combine like terms: 4z + -4z = 0 3x + 0 = 35 + 2y + -4z 3x = 35 + 2y + -4z Divide each side by '3'. x = 11.66666667 + 0.6666666667y + -1.333333333z Simplifying x = 11.66666667 + 0.6666666667y + -1.333333333z
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