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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 = 8x 41 + 8x = 105 + -3x + 3x Combine like terms: -3x + 3x = 0 41 + 8x = 105 + 0 41 + 8x = 105 Add '-41' to each side of the equation. 41 + -41 + 8x = 105 + -41 Combine like terms: 41 + -41 = 0 0 + 8x = 105 + -41 8x = 105 + -41 Combine like terms: 105 + -41 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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