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Simplifying 9x + 54x + -76 + 23x = 2x + 32x + 82 Reorder the terms: -76 + 9x + 54x + 23x = 2x + 32x + 82 Combine like terms: 9x + 54x = 63x -76 + 63x + 23x = 2x + 32x + 82 Combine like terms: 63x + 23x = 86x -76 + 86x = 2x + 32x + 82 Reorder the terms: -76 + 86x = 82 + 2x + 32x Combine like terms: 2x + 32x = 34x -76 + 86x = 82 + 34x Solving -76 + 86x = 82 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -76 + 86x + -34x = 82 + 34x + -34x Combine like terms: 86x + -34x = 52x -76 + 52x = 82 + 34x + -34x Combine like terms: 34x + -34x = 0 -76 + 52x = 82 + 0 -76 + 52x = 82 Add '76' to each side of the equation. -76 + 76 + 52x = 82 + 76 Combine like terms: -76 + 76 = 0 0 + 52x = 82 + 76 52x = 82 + 76 Combine like terms: 82 + 76 = 158 52x = 158 Divide each side by '52'. x = 3.038461538 Simplifying x = 3.038461538
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