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Simplifying 3x + -5y + 6z = -15 Solving 3x + -5y + 6z = -15 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 + 6z = -15 + 5y Combine like terms: -5y + 5y = 0 3x + 0 + 6z = -15 + 5y 3x + 6z = -15 + 5y Add '-6z' to each side of the equation. 3x + 6z + -6z = -15 + 5y + -6z Combine like terms: 6z + -6z = 0 3x + 0 = -15 + 5y + -6z 3x = -15 + 5y + -6z Divide each side by '3'. x = -5 + 1.666666667y + -2z Simplifying x = -5 + 1.666666667y + -2z
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