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Simplifying 3x + 5y + -3z = -12 Solving 3x + 5y + -3z = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y + -3z = -12 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + -3z = -12 + -5y 3x + -3z = -12 + -5y Add '3z' to each side of the equation. 3x + -3z + 3z = -12 + -5y + 3z Combine like terms: -3z + 3z = 0 3x + 0 = -12 + -5y + 3z 3x = -12 + -5y + 3z Divide each side by '3'. x = -4 + -1.666666667y + z Simplifying x = -4 + -1.666666667y + z
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