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Simplifying 4x + -3y + -6z = 6 Solving 4x + -3y + -6z = 6 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. 4x + -3y + 3y + -6z = 6 + 3y Combine like terms: -3y + 3y = 0 4x + 0 + -6z = 6 + 3y 4x + -6z = 6 + 3y Add '6z' to each side of the equation. 4x + -6z + 6z = 6 + 3y + 6z Combine like terms: -6z + 6z = 0 4x + 0 = 6 + 3y + 6z 4x = 6 + 3y + 6z Divide each side by '4'. x = 1.5 + 0.75y + 1.5z Simplifying x = 1.5 + 0.75y + 1.5z
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