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Simplifying 4x + 5y + -6z = 14 Solving 4x + 5y + -6z = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 4x + 5y + -5y + -6z = 14 + -5y Combine like terms: 5y + -5y = 0 4x + 0 + -6z = 14 + -5y 4x + -6z = 14 + -5y Add '6z' to each side of the equation. 4x + -6z + 6z = 14 + -5y + 6z Combine like terms: -6z + 6z = 0 4x + 0 = 14 + -5y + 6z 4x = 14 + -5y + 6z Divide each side by '4'. x = 3.5 + -1.25y + 1.5z Simplifying x = 3.5 + -1.25y + 1.5z
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