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Simplifying 6x + 3y + 4z = 30 Solving 6x + 3y + 4z = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 6x + 3y + -3y + 4z = 30 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + 4z = 30 + -3y 6x + 4z = 30 + -3y Add '-4z' to each side of the equation. 6x + 4z + -4z = 30 + -3y + -4z Combine like terms: 4z + -4z = 0 6x + 0 = 30 + -3y + -4z 6x = 30 + -3y + -4z Divide each side by '6'. x = 5 + -0.5y + -0.6666666667z Simplifying x = 5 + -0.5y + -0.6666666667z
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