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Simplifying 7x + 14y + -6z + 2h = 10y + -6x + 6x + 2h Reorder the terms: 2h + 7x + 14y + -6z = 10y + -6x + 6x + 2h Reorder the terms: 2h + 7x + 14y + -6z = 2h + -6x + 6x + 10y Combine like terms: -6x + 6x = 0 2h + 7x + 14y + -6z = 2h + 0 + 10y 2h + 7x + 14y + -6z = 2h + 10y Add '-2h' to each side of the equation. 2h + 7x + 14y + -2h + -6z = 2h + -2h + 10y Reorder the terms: 2h + -2h + 7x + 14y + -6z = 2h + -2h + 10y Combine like terms: 2h + -2h = 0 0 + 7x + 14y + -6z = 2h + -2h + 10y 7x + 14y + -6z = 2h + -2h + 10y Combine like terms: 2h + -2h = 0 7x + 14y + -6z = 0 + 10y 7x + 14y + -6z = 10y Solving 7x + 14y + -6z = 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. 7x + 14y + -14y + -6z = 10y + -14y Combine like terms: 14y + -14y = 0 7x + 0 + -6z = 10y + -14y 7x + -6z = 10y + -14y Combine like terms: 10y + -14y = -4y 7x + -6z = -4y Add '6z' to each side of the equation. 7x + -6z + 6z = -4y + 6z Combine like terms: -6z + 6z = 0 7x + 0 = -4y + 6z 7x = -4y + 6z Divide each side by '7'. x = -0.5714285714y + 0.8571428571z Simplifying x = -0.5714285714y + 0.8571428571z
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