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Simplifying 9x + 54x + -76 + 23x = 2x + 32x + 82 + 23 + 12 + 12 + 12 + 12 + 12 + x Reorder the terms: -76 + 9x + 54x + 23x = 2x + 32x + 82 + 23 + 12 + 12 + 12 + 12 + 12 + x Combine like terms: 9x + 54x = 63x -76 + 63x + 23x = 2x + 32x + 82 + 23 + 12 + 12 + 12 + 12 + 12 + x Combine like terms: 63x + 23x = 86x -76 + 86x = 2x + 32x + 82 + 23 + 12 + 12 + 12 + 12 + 12 + x Reorder the terms: -76 + 86x = 82 + 23 + 12 + 12 + 12 + 12 + 12 + 2x + 32x + x Combine like terms: 82 + 23 = 105 -76 + 86x = 105 + 12 + 12 + 12 + 12 + 12 + 2x + 32x + x Combine like terms: 105 + 12 = 117 -76 + 86x = 117 + 12 + 12 + 12 + 12 + 2x + 32x + x Combine like terms: 117 + 12 = 129 -76 + 86x = 129 + 12 + 12 + 12 + 2x + 32x + x Combine like terms: 129 + 12 = 141 -76 + 86x = 141 + 12 + 12 + 2x + 32x + x Combine like terms: 141 + 12 = 153 -76 + 86x = 153 + 12 + 2x + 32x + x Combine like terms: 153 + 12 = 165 -76 + 86x = 165 + 2x + 32x + x Combine like terms: 2x + 32x = 34x -76 + 86x = 165 + 34x + x Combine like terms: 34x + x = 35x -76 + 86x = 165 + 35x Solving -76 + 86x = 165 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -76 + 86x + -35x = 165 + 35x + -35x Combine like terms: 86x + -35x = 51x -76 + 51x = 165 + 35x + -35x Combine like terms: 35x + -35x = 0 -76 + 51x = 165 + 0 -76 + 51x = 165 Add '76' to each side of the equation. -76 + 76 + 51x = 165 + 76 Combine like terms: -76 + 76 = 0 0 + 51x = 165 + 76 51x = 165 + 76 Combine like terms: 165 + 76 = 241 51x = 241 Divide each side by '51'. x = 4.725490196 Simplifying x = 4.725490196
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