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Simplifying 3x + 41 = x + 75 Reorder the terms: 41 + 3x = x + 75 Reorder the terms: 41 + 3x = 75 + x Solving 41 + 3x = 75 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 41 + 3x + -1x = 75 + x + -1x Combine like terms: 3x + -1x = 2x 41 + 2x = 75 + x + -1x Combine like terms: x + -1x = 0 41 + 2x = 75 + 0 41 + 2x = 75 Add '-41' to each side of the equation. 41 + -41 + 2x = 75 + -41 Combine like terms: 41 + -41 = 0 0 + 2x = 75 + -41 2x = 75 + -41 Combine like terms: 75 + -41 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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