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Simplifying 412x + -32 + -5x = 31x + 42 Reorder the terms: -32 + 412x + -5x = 31x + 42 Combine like terms: 412x + -5x = 407x -32 + 407x = 31x + 42 Reorder the terms: -32 + 407x = 42 + 31x Solving -32 + 407x = 42 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -32 + 407x + -31x = 42 + 31x + -31x Combine like terms: 407x + -31x = 376x -32 + 376x = 42 + 31x + -31x Combine like terms: 31x + -31x = 0 -32 + 376x = 42 + 0 -32 + 376x = 42 Add '32' to each side of the equation. -32 + 32 + 376x = 42 + 32 Combine like terms: -32 + 32 = 0 0 + 376x = 42 + 32 376x = 42 + 32 Combine like terms: 42 + 32 = 74 376x = 74 Divide each side by '376'. x = 0.1968085106 Simplifying x = 0.1968085106
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