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Simplifying 3x + 4y + 6z = 189 Solving 3x + 4y + 6z = 189 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 + 6z = 189 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + 6z = 189 + -4y 3x + 6z = 189 + -4y Add '-6z' to each side of the equation. 3x + 6z + -6z = 189 + -4y + -6z Combine like terms: 6z + -6z = 0 3x + 0 = 189 + -4y + -6z 3x = 189 + -4y + -6z Divide each side by '3'. x = 63 + -1.333333333y + -2z Simplifying x = 63 + -1.333333333y + -2z
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