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Simplifying 7x + 5y + 7x + -2x + 4z + -7y = 0 Reorder the terms: 7x + 7x + -2x + 5y + -7y + 4z = 0 Combine like terms: 7x + 7x = 14x 14x + -2x + 5y + -7y + 4z = 0 Combine like terms: 14x + -2x = 12x 12x + 5y + -7y + 4z = 0 Combine like terms: 5y + -7y = -2y 12x + -2y + 4z = 0 Solving 12x + -2y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 12x + -2y + 2y + 4z = 0 + 2y Combine like terms: -2y + 2y = 0 12x + 0 + 4z = 0 + 2y 12x + 4z = 0 + 2y Remove the zero: 12x + 4z = 2y Add '-4z' to each side of the equation. 12x + 4z + -4z = 2y + -4z Combine like terms: 4z + -4z = 0 12x + 0 = 2y + -4z 12x = 2y + -4z Divide each side by '12'. x = 0.1666666667y + -0.3333333333z Simplifying x = 0.1666666667y + -0.3333333333z
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