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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 = 104 12x = 104 Divide each side by '12'. x = 8.666666667 Simplifying x = 8.666666667
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