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Simplifying 6x + 5 = 3x + 41 Reorder the terms: 5 + 6x = 3x + 41 Reorder the terms: 5 + 6x = 41 + 3x Solving 5 + 6x = 41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 6x + -3x = 41 + 3x + -3x Combine like terms: 6x + -3x = 3x 5 + 3x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 3x = 41 + 0 5 + 3x = 41 Add '-5' to each side of the equation. 5 + -5 + 3x = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 41 + -5 3x = 41 + -5 Combine like terms: 41 + -5 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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