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Simplifying 4x + 2y + -2z = -6 Solving 4x + 2y + -2z = -6 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. 4x + 2y + -2y + -2z = -6 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + -2z = -6 + -2y 4x + -2z = -6 + -2y Add '2z' to each side of the equation. 4x + -2z + 2z = -6 + -2y + 2z Combine like terms: -2z + 2z = 0 4x + 0 = -6 + -2y + 2z 4x = -6 + -2y + 2z Divide each side by '4'. x = -1.5 + -0.5y + 0.5z Simplifying x = -1.5 + -0.5y + 0.5z
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