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Simplifying 3x + -8 + 2x = 41 + -2x Reorder the terms: -8 + 3x + 2x = 41 + -2x Combine like terms: 3x + 2x = 5x -8 + 5x = 41 + -2x Solving -8 + 5x = 41 + -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. -8 + 5x + 2x = 41 + -2x + 2x Combine like terms: 5x + 2x = 7x -8 + 7x = 41 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 7x = 41 + 0 -8 + 7x = 41 Add '8' to each side of the equation. -8 + 8 + 7x = 41 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 41 + 8 7x = 41 + 8 Combine like terms: 41 + 8 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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