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Simplifying 9x + 6z + -3y = 2y + 2x Reorder the terms: 9x + -3y + 6z = 2y + 2x Reorder the terms: 9x + -3y + 6z = 2x + 2y Solving 9x + -3y + 6z = 2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9x + -3y + -2x + 6z = 2x + -2x + 2y Reorder the terms: 9x + -2x + -3y + 6z = 2x + -2x + 2y Combine like terms: 9x + -2x = 7x 7x + -3y + 6z = 2x + -2x + 2y Combine like terms: 2x + -2x = 0 7x + -3y + 6z = 0 + 2y 7x + -3y + 6z = 2y Add '3y' to each side of the equation. 7x + -3y + 3y + 6z = 2y + 3y Combine like terms: -3y + 3y = 0 7x + 0 + 6z = 2y + 3y 7x + 6z = 2y + 3y Combine like terms: 2y + 3y = 5y 7x + 6z = 5y Add '-6z' to each side of the equation. 7x + 6z + -6z = 5y + -6z Combine like terms: 6z + -6z = 0 7x + 0 = 5y + -6z 7x = 5y + -6z Divide each side by '7'. x = 0.7142857143y + -0.8571428571z Simplifying x = 0.7142857143y + -0.8571428571z
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