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Simplifying 3x + -42 + 1 = -4x + 5 Reorder the terms: -42 + 1 + 3x = -4x + 5 Combine like terms: -42 + 1 = -41 -41 + 3x = -4x + 5 Reorder the terms: -41 + 3x = 5 + -4x Solving -41 + 3x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -41 + 3x + 4x = 5 + -4x + 4x Combine like terms: 3x + 4x = 7x -41 + 7x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -41 + 7x = 5 + 0 -41 + 7x = 5 Add '41' to each side of the equation. -41 + 41 + 7x = 5 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 5 + 41 7x = 5 + 41 Combine like terms: 5 + 41 = 46 7x = 46 Divide each side by '7'. x = 6.571428571 Simplifying x = 6.571428571
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