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Simplifying 3x + -30 + 3x + -52 + 2x + -8 + 2x + x + 107 + 3x + -7 + 2x + -1 + 2x + -1 + 2x + 27 = 1080 Reorder the terms: -30 + -52 + -8 + 107 + -7 + -1 + -1 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: -30 + -52 = -82 -82 + -8 + 107 + -7 + -1 + -1 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: -82 + -8 = -90 -90 + 107 + -7 + -1 + -1 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: -90 + 107 = 17 17 + -7 + -1 + -1 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 17 + -7 = 10 10 + -1 + -1 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 10 + -1 = 9 9 + -1 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 9 + -1 = 8 8 + 27 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 8 + 27 = 35 35 + 3x + 3x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 3x + 3x = 6x 35 + 6x + 2x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 6x + 2x = 8x 35 + 8x + 2x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 8x + 2x = 10x 35 + 10x + x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 10x + x = 11x 35 + 11x + 3x + 2x + 2x + 2x = 1080 Combine like terms: 11x + 3x = 14x 35 + 14x + 2x + 2x + 2x = 1080 Combine like terms: 14x + 2x = 16x 35 + 16x + 2x + 2x = 1080 Combine like terms: 16x + 2x = 18x 35 + 18x + 2x = 1080 Combine like terms: 18x + 2x = 20x 35 + 20x = 1080 Solving 35 + 20x = 1080 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 20x = 1080 + -35 Combine like terms: 35 + -35 = 0 0 + 20x = 1080 + -35 20x = 1080 + -35 Combine like terms: 1080 + -35 = 1045 20x = 1045 Divide each side by '20'. x = 52.25 Simplifying x = 52.25
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