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Simplifying 5x + 41 = 105 + 3x Reorder the terms: 41 + 5x = 105 + 3x Solving 41 + 5x = 105 + 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. 41 + 5x + -3x = 105 + 3x + -3x Combine like terms: 5x + -3x = 2x 41 + 2x = 105 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + 2x = 105 + 0 41 + 2x = 105 Add '-41' to each side of the equation. 41 + -41 + 2x = 105 + -41 Combine like terms: 41 + -41 = 0 0 + 2x = 105 + -41 2x = 105 + -41 Combine like terms: 105 + -41 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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