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Simplifying 5x + 21(11 + -4x) = 82 + x 5x + (11 * 21 + -4x * 21) = 82 + x 5x + (231 + -84x) = 82 + x Reorder the terms: 231 + 5x + -84x = 82 + x Combine like terms: 5x + -84x = -79x 231 + -79x = 82 + x Solving 231 + -79x = 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. 231 + -79x + -1x = 82 + x + -1x Combine like terms: -79x + -1x = -80x 231 + -80x = 82 + x + -1x Combine like terms: x + -1x = 0 231 + -80x = 82 + 0 231 + -80x = 82 Add '-231' to each side of the equation. 231 + -231 + -80x = 82 + -231 Combine like terms: 231 + -231 = 0 0 + -80x = 82 + -231 -80x = 82 + -231 Combine like terms: 82 + -231 = -149 -80x = -149 Divide each side by '-80'. x = 1.8625 Simplifying x = 1.8625
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