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Simplifying 2x + 2(11 + -4x) = 82 + x 2x + (11 * 2 + -4x * 2) = 82 + x 2x + (22 + -8x) = 82 + x Reorder the terms: 22 + 2x + -8x = 82 + x Combine like terms: 2x + -8x = -6x 22 + -6x = 82 + x Solving 22 + -6x = 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 + -6x + -1x = 82 + x + -1x Combine like terms: -6x + -1x = -7x 22 + -7x = 82 + x + -1x Combine like terms: x + -1x = 0 22 + -7x = 82 + 0 22 + -7x = 82 Add '-22' to each side of the equation. 22 + -22 + -7x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = 82 + -22 -7x = 82 + -22 Combine like terms: 82 + -22 = 60 -7x = 60 Divide each side by '-7'. x = -8.571428571 Simplifying x = -8.571428571
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