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Simplifying 5x + 2(11x + -4x) = 82 + x Combine like terms: 11x + -4x = 7x 5x + 2(7x) = 82 + x Remove parenthesis around (7x) 5x + 2 * 7x = 82 + x Multiply 2 * 7 5x + 14x = 82 + x Combine like terms: 5x + 14x = 19x 19x = 82 + x Solving 19x = 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. 19x + -1x = 82 + x + -1x Combine like terms: 19x + -1x = 18x 18x = 82 + x + -1x Combine like terms: x + -1x = 0 18x = 82 + 0 18x = 82 Divide each side by '18'. x = 4.555555556 Simplifying x = 4.555555556
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