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Simplifying -34 + 3x = 41 + -2x Solving -34 + 3x = 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. -34 + 3x + 2x = 41 + -2x + 2x Combine like terms: 3x + 2x = 5x -34 + 5x = 41 + -2x + 2x Combine like terms: -2x + 2x = 0 -34 + 5x = 41 + 0 -34 + 5x = 41 Add '34' to each side of the equation. -34 + 34 + 5x = 41 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = 41 + 34 5x = 41 + 34 Combine like terms: 41 + 34 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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