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Simplifying 3x + 12 + -29x = 57x + 208 + -5x + 38 Reorder the terms: 12 + 3x + -29x = 57x + 208 + -5x + 38 Combine like terms: 3x + -29x = -26x 12 + -26x = 57x + 208 + -5x + 38 Reorder the terms: 12 + -26x = 208 + 38 + 57x + -5x Combine like terms: 208 + 38 = 246 12 + -26x = 246 + 57x + -5x Combine like terms: 57x + -5x = 52x 12 + -26x = 246 + 52x Solving 12 + -26x = 246 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 12 + -26x + -52x = 246 + 52x + -52x Combine like terms: -26x + -52x = -78x 12 + -78x = 246 + 52x + -52x Combine like terms: 52x + -52x = 0 12 + -78x = 246 + 0 12 + -78x = 246 Add '-12' to each side of the equation. 12 + -12 + -78x = 246 + -12 Combine like terms: 12 + -12 = 0 0 + -78x = 246 + -12 -78x = 246 + -12 Combine like terms: 246 + -12 = 234 -78x = 234 Divide each side by '-78'. x = -3 Simplifying x = -3
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