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Simplifying 6x + 41 = 47 + 5x Reorder the terms: 41 + 6x = 47 + 5x Solving 41 + 6x = 47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 41 + 6x + -5x = 47 + 5x + -5x Combine like terms: 6x + -5x = 1x 41 + 1x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + 1x = 47 + 0 41 + 1x = 47 Add '-41' to each side of the equation. 41 + -41 + 1x = 47 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = 47 + -41 1x = 47 + -41 Combine like terms: 47 + -41 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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