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Simplifying 9x + 41 = 4x + 71 Reorder the terms: 41 + 9x = 4x + 71 Reorder the terms: 41 + 9x = 71 + 4x Solving 41 + 9x = 71 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 41 + 9x + -4x = 71 + 4x + -4x Combine like terms: 9x + -4x = 5x 41 + 5x = 71 + 4x + -4x Combine like terms: 4x + -4x = 0 41 + 5x = 71 + 0 41 + 5x = 71 Add '-41' to each side of the equation. 41 + -41 + 5x = 71 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 71 + -41 5x = 71 + -41 Combine like terms: 71 + -41 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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