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