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Simplifying 1.5x + 3y + -2z = -6 Solving 1.5x + 3y + -2z = -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. 1.5x + 3y + -3y + -2z = -6 + -3y Combine like terms: 3y + -3y = 0 1.5x + 0 + -2z = -6 + -3y 1.5x + -2z = -6 + -3y Add '2z' to each side of the equation. 1.5x + -2z + 2z = -6 + -3y + 2z Combine like terms: -2z + 2z = 0 1.5x + 0 = -6 + -3y + 2z 1.5x = -6 + -3y + 2z Divide each side by '1.5'. x = -4 + -2y + 1.333333333z Simplifying x = -4 + -2y + 1.333333333z
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