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Simplifying -6z + 3 + 3x = -3x + 8 Reorder the terms: 3 + 3x + -6z = -3x + 8 Reorder the terms: 3 + 3x + -6z = 8 + -3x Solving 3 + 3x + -6z = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + 3x + 3x + -6z = 8 + -3x + 3x Combine like terms: 3x + 3x = 6x 3 + 6x + -6z = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 6x + -6z = 8 + 0 3 + 6x + -6z = 8 Add '-3' to each side of the equation. 3 + 6x + -3 + -6z = 8 + -3 Reorder the terms: 3 + -3 + 6x + -6z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 6x + -6z = 8 + -3 6x + -6z = 8 + -3 Combine like terms: 8 + -3 = 5 6x + -6z = 5 Add '6z' to each side of the equation. 6x + -6z + 6z = 5 + 6z Combine like terms: -6z + 6z = 0 6x + 0 = 5 + 6z 6x = 5 + 6z Divide each side by '6'. x = 0.8333333333 + z Simplifying x = 0.8333333333 + z
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