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Simplifying 6x + z = 103 + -6x Solving 6x + z = 103 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6x + 6x + z = 103 + -6x + 6x Combine like terms: 6x + 6x = 12x 12x + z = 103 + -6x + 6x Combine like terms: -6x + 6x = 0 12x + z = 103 + 0 12x + z = 103 Add '-1z' to each side of the equation. 12x + z + -1z = 103 + -1z Combine like terms: z + -1z = 0 12x + 0 = 103 + -1z 12x = 103 + -1z Divide each side by '12'. x = 8.583333333 + -0.08333333333z Simplifying x = 8.583333333 + -0.08333333333z
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