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Simplifying 6x + 1 = 85 + -6x Reorder the terms: 1 + 6x = 85 + -6x Solving 1 + 6x = 85 + -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. 1 + 6x + 6x = 85 + -6x + 6x Combine like terms: 6x + 6x = 12x 1 + 12x = 85 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 12x = 85 + 0 1 + 12x = 85 Add '-1' to each side of the equation. 1 + -1 + 12x = 85 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 85 + -1 12x = 85 + -1 Combine like terms: 85 + -1 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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