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Simplifying 85 = 6(2x + 1) + -5 Reorder the terms: 85 = 6(1 + 2x) + -5 85 = (1 * 6 + 2x * 6) + -5 85 = (6 + 12x) + -5 Reorder the terms: 85 = 6 + -5 + 12x Combine like terms: 6 + -5 = 1 85 = 1 + 12x Solving 85 = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 85 + -12x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 85 + -12x = 1 + 0 85 + -12x = 1 Add '-85' to each side of the equation. 85 + -85 + -12x = 1 + -85 Combine like terms: 85 + -85 = 0 0 + -12x = 1 + -85 -12x = 1 + -85 Combine like terms: 1 + -85 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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