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Simplifying 2(x + -3y + 4z) = -9 (x * 2 + -3y * 2 + 4z * 2) = -9 (2x + -6y + 8z) = -9 Solving 2x + -6y + 8z = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 2x + -6y + 6y + 8z = -9 + 6y Combine like terms: -6y + 6y = 0 2x + 0 + 8z = -9 + 6y 2x + 8z = -9 + 6y Add '-8z' to each side of the equation. 2x + 8z + -8z = -9 + 6y + -8z Combine like terms: 8z + -8z = 0 2x + 0 = -9 + 6y + -8z 2x = -9 + 6y + -8z Divide each side by '2'. x = -4.5 + 3y + -4z Simplifying x = -4.5 + 3y + -4z
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