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Simplifying 5x + 4y + 4z + -3x = 2z + -6y Reorder the terms: 5x + -3x + 4y + 4z = 2z + -6y Combine like terms: 5x + -3x = 2x 2x + 4y + 4z = 2z + -6y Reorder the terms: 2x + 4y + 4z = -6y + 2z Solving 2x + 4y + 4z = -6y + 2z 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. 2x + 4y + -4y + 4z = -6y + -4y + 2z Combine like terms: 4y + -4y = 0 2x + 0 + 4z = -6y + -4y + 2z 2x + 4z = -6y + -4y + 2z Combine like terms: -6y + -4y = -10y 2x + 4z = -10y + 2z Add '-4z' to each side of the equation. 2x + 4z + -4z = -10y + 2z + -4z Combine like terms: 4z + -4z = 0 2x + 0 = -10y + 2z + -4z 2x = -10y + 2z + -4z Combine like terms: 2z + -4z = -2z 2x = -10y + -2z Divide each side by '2'. x = -5y + -1z Simplifying x = -5y + -1z
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