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Simplifying 2y + 3x + 5y + -3z = 0 Reorder the terms: 3x + 2y + 5y + -3z = 0 Combine like terms: 2y + 5y = 7y 3x + 7y + -3z = 0 Solving 3x + 7y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 3x + 7y + -7y + -3z = 0 + -7y Combine like terms: 7y + -7y = 0 3x + 0 + -3z = 0 + -7y 3x + -3z = 0 + -7y Remove the zero: 3x + -3z = -7y Add '3z' to each side of the equation. 3x + -3z + 3z = -7y + 3z Combine like terms: -3z + 3z = 0 3x + 0 = -7y + 3z 3x = -7y + 3z Divide each side by '3'. x = -2.333333333y + z Simplifying x = -2.333333333y + z
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