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Simplifying x + 34 + 42 = 37x + -32 Reorder the terms: 34 + 42 + x = 37x + -32 Combine like terms: 34 + 42 = 76 76 + x = 37x + -32 Reorder the terms: 76 + x = -32 + 37x Solving 76 + x = -32 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. 76 + x + -37x = -32 + 37x + -37x Combine like terms: x + -37x = -36x 76 + -36x = -32 + 37x + -37x Combine like terms: 37x + -37x = 0 76 + -36x = -32 + 0 76 + -36x = -32 Add '-76' to each side of the equation. 76 + -76 + -36x = -32 + -76 Combine like terms: 76 + -76 = 0 0 + -36x = -32 + -76 -36x = -32 + -76 Combine like terms: -32 + -76 = -108 -36x = -108 Divide each side by '-36'. x = 3 Simplifying x = 3
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