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Simplifying -6z + 4 + 7x = 17 + -34 Reorder the terms: 4 + 7x + -6z = 17 + -34 Combine like terms: 17 + -34 = -17 4 + 7x + -6z = -17 Solving 4 + 7x + -6z = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 7x + -4 + -6z = -17 + -4 Reorder the terms: 4 + -4 + 7x + -6z = -17 + -4 Combine like terms: 4 + -4 = 0 0 + 7x + -6z = -17 + -4 7x + -6z = -17 + -4 Combine like terms: -17 + -4 = -21 7x + -6z = -21 Add '6z' to each side of the equation. 7x + -6z + 6z = -21 + 6z Combine like terms: -6z + 6z = 0 7x + 0 = -21 + 6z 7x = -21 + 6z Divide each side by '7'. x = -3 + 0.8571428571z Simplifying x = -3 + 0.8571428571z
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