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Simplifying 9x + 1 = 4x + 41 Reorder the terms: 1 + 9x = 4x + 41 Reorder the terms: 1 + 9x = 41 + 4x Solving 1 + 9x = 41 + 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. 1 + 9x + -4x = 41 + 4x + -4x Combine like terms: 9x + -4x = 5x 1 + 5x = 41 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 5x = 41 + 0 1 + 5x = 41 Add '-1' to each side of the equation. 1 + -1 + 5x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 41 + -1 5x = 41 + -1 Combine like terms: 41 + -1 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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