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Simplifying 5x + 2(11 + -4x) = 82 + -1x 5x + (11 * 2 + -4x * 2) = 82 + -1x 5x + (22 + -8x) = 82 + -1x Reorder the terms: 22 + 5x + -8x = 82 + -1x Combine like terms: 5x + -8x = -3x 22 + -3x = 82 + -1x Solving 22 + -3x = 82 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 22 + -3x + x = 82 + -1x + x Combine like terms: -3x + x = -2x 22 + -2x = 82 + -1x + x Combine like terms: -1x + x = 0 22 + -2x = 82 + 0 22 + -2x = 82 Add '-22' to each side of the equation. 22 + -22 + -2x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 82 + -22 -2x = 82 + -22 Combine like terms: 82 + -22 = 60 -2x = 60 Divide each side by '-2'. x = -30 Simplifying x = -30
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