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Simplifying 5x + 1 = 85 + -7x Reorder the terms: 1 + 5x = 85 + -7x Solving 1 + 5x = 85 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + 5x + 7x = 85 + -7x + 7x Combine like terms: 5x + 7x = 12x 1 + 12x = 85 + -7x + 7x Combine like terms: -7x + 7x = 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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