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Simplifying 8x + 4y + 9z + -4x = 5z + -6y Reorder the terms: 8x + -4x + 4y + 9z = 5z + -6y Combine like terms: 8x + -4x = 4x 4x + 4y + 9z = 5z + -6y Reorder the terms: 4x + 4y + 9z = -6y + 5z Solving 4x + 4y + 9z = -6y + 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 4x + 4y + -4y + 9z = -6y + -4y + 5z Combine like terms: 4y + -4y = 0 4x + 0 + 9z = -6y + -4y + 5z 4x + 9z = -6y + -4y + 5z Combine like terms: -6y + -4y = -10y 4x + 9z = -10y + 5z Add '-9z' to each side of the equation. 4x + 9z + -9z = -10y + 5z + -9z Combine like terms: 9z + -9z = 0 4x + 0 = -10y + 5z + -9z 4x = -10y + 5z + -9z Combine like terms: 5z + -9z = -4z 4x = -10y + -4z Divide each side by '4'. x = -2.5y + -1z Simplifying x = -2.5y + -1z
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