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Simplifying 6x + 3y + -12z = 15 Solving 6x + 3y + -12z = 15 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. 6x + 3y + -3y + -12z = 15 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + -12z = 15 + -3y 6x + -12z = 15 + -3y Add '12z' to each side of the equation. 6x + -12z + 12z = 15 + -3y + 12z Combine like terms: -12z + 12z = 0 6x + 0 = 15 + -3y + 12z 6x = 15 + -3y + 12z Divide each side by '6'. x = 2.5 + -0.5y + 2z Simplifying x = 2.5 + -0.5y + 2z
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