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Simplifying 12x + 41 = 6x + 1 Reorder the terms: 41 + 12x = 6x + 1 Reorder the terms: 41 + 12x = 1 + 6x Solving 41 + 12x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 41 + 12x + -6x = 1 + 6x + -6x Combine like terms: 12x + -6x = 6x 41 + 6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 41 + 6x = 1 + 0 41 + 6x = 1 Add '-41' to each side of the equation. 41 + -41 + 6x = 1 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 1 + -41 6x = 1 + -41 Combine like terms: 1 + -41 = -40 6x = -40 Divide each side by '6'. x = -6.666666667 Simplifying x = -6.666666667
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