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Simplifying -4x + 3y + z = 6 Solving -4x + 3y + z = 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 + z = 6 + -3y Combine like terms: 3y + -3y = 0 -4x + 0 + z = 6 + -3y -4x + z = 6 + -3y Add '-1z' to each side of the equation. -4x + z + -1z = 6 + -3y + -1z Combine like terms: z + -1z = 0 -4x + 0 = 6 + -3y + -1z -4x = 6 + -3y + -1z Divide each side by '-4'. x = -1.5 + 0.75y + 0.25z Simplifying x = -1.5 + 0.75y + 0.25z
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