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Simplifying -4x + 2y + -3z = 6 Solving -4x + 2y + -3z = 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 + -3z = 6 + -2y Combine like terms: 2y + -2y = 0 -4x + 0 + -3z = 6 + -2y -4x + -3z = 6 + -2y Add '3z' to each side of the equation. -4x + -3z + 3z = 6 + -2y + 3z Combine like terms: -3z + 3z = 0 -4x + 0 = 6 + -2y + 3z -4x = 6 + -2y + 3z Divide each side by '-4'. x = -1.5 + 0.5y + -0.75z Simplifying x = -1.5 + 0.5y + -0.75z
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