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Simplifying -41 + 5x = 2x + 49 Reorder the terms: -41 + 5x = 49 + 2x Solving -41 + 5x = 49 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -41 + 5x + -2x = 49 + 2x + -2x Combine like terms: 5x + -2x = 3x -41 + 3x = 49 + 2x + -2x Combine like terms: 2x + -2x = 0 -41 + 3x = 49 + 0 -41 + 3x = 49 Add '41' to each side of the equation. -41 + 41 + 3x = 49 + 41 Combine like terms: -41 + 41 = 0 0 + 3x = 49 + 41 3x = 49 + 41 Combine like terms: 49 + 41 = 90 3x = 90 Divide each side by '3'. x = 30 Simplifying x = 30
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