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Simplifying -6x + -14y + 15z = 10y + -19 Reorder the terms: -6x + -14y + 15z = -19 + 10y Solving -6x + -14y + 15z = -19 + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. -6x + -14y + 14y + 15z = -19 + 10y + 14y Combine like terms: -14y + 14y = 0 -6x + 0 + 15z = -19 + 10y + 14y -6x + 15z = -19 + 10y + 14y Combine like terms: 10y + 14y = 24y -6x + 15z = -19 + 24y Add '-15z' to each side of the equation. -6x + 15z + -15z = -19 + 24y + -15z Combine like terms: 15z + -15z = 0 -6x + 0 = -19 + 24y + -15z -6x = -19 + 24y + -15z Divide each side by '-6'. x = 3.166666667 + -4y + 2.5z Simplifying x = 3.166666667 + -4y + 2.5z
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