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Simplifying 6(2x + 1) + -5x = 83 Reorder the terms: 6(1 + 2x) + -5x = 83 (1 * 6 + 2x * 6) + -5x = 83 (6 + 12x) + -5x = 83 Combine like terms: 12x + -5x = 7x 6 + 7x = 83 Solving 6 + 7x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 83 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 83 + -6 7x = 83 + -6 Combine like terms: 83 + -6 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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