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Simplifying 5x + 2(11 + 4x) = 82 + x 5x + (11 * 2 + 4x * 2) = 82 + x 5x + (22 + 8x) = 82 + x Reorder the terms: 22 + 5x + 8x = 82 + x Combine like terms: 5x + 8x = 13x 22 + 13x = 82 + x Solving 22 + 13x = 82 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 22 + 13x + -1x = 82 + x + -1x Combine like terms: 13x + -1x = 12x 22 + 12x = 82 + x + -1x Combine like terms: x + -1x = 0 22 + 12x = 82 + 0 22 + 12x = 82 Add '-22' to each side of the equation. 22 + -22 + 12x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + 12x = 82 + -22 12x = 82 + -22 Combine like terms: 82 + -22 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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