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Simplifying 2x + 41 = 3x + 34 Reorder the terms: 41 + 2x = 3x + 34 Reorder the terms: 41 + 2x = 34 + 3x Solving 41 + 2x = 34 + 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 + 2x + -3x = 34 + 3x + -3x Combine like terms: 2x + -3x = -1x 41 + -1x = 34 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + -1x = 34 + 0 41 + -1x = 34 Add '-41' to each side of the equation. 41 + -41 + -1x = 34 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 34 + -41 -1x = 34 + -41 Combine like terms: 34 + -41 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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