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Simplifying 6x + 5y + 6z + -3x + 2z = -7y Reorder the terms: 6x + -3x + 5y + 6z + 2z = -7y Combine like terms: 6x + -3x = 3x 3x + 5y + 6z + 2z = -7y Combine like terms: 6z + 2z = 8z 3x + 5y + 8z = -7y Solving 3x + 5y + 8z = -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y + 8z = -7y + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 8z = -7y + -5y 3x + 8z = -7y + -5y Combine like terms: -7y + -5y = -12y 3x + 8z = -12y Add '-8z' to each side of the equation. 3x + 8z + -8z = -12y + -8z Combine like terms: 8z + -8z = 0 3x + 0 = -12y + -8z 3x = -12y + -8z Divide each side by '3'. x = -4y + -2.666666667z Simplifying x = -4y + -2.666666667z
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