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Simplifying 3x + 41 + -6x = 3 + -7x + 2 Reorder the terms: 41 + 3x + -6x = 3 + -7x + 2 Combine like terms: 3x + -6x = -3x 41 + -3x = 3 + -7x + 2 Reorder the terms: 41 + -3x = 3 + 2 + -7x Combine like terms: 3 + 2 = 5 41 + -3x = 5 + -7x Solving 41 + -3x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 41 + -3x + 7x = 5 + -7x + 7x Combine like terms: -3x + 7x = 4x 41 + 4x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 41 + 4x = 5 + 0 41 + 4x = 5 Add '-41' to each side of the equation. 41 + -41 + 4x = 5 + -41 Combine like terms: 41 + -41 = 0 0 + 4x = 5 + -41 4x = 5 + -41 Combine like terms: 5 + -41 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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