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Simplifying 9(2x + 1) = 41 + 2x Reorder the terms: 9(1 + 2x) = 41 + 2x (1 * 9 + 2x * 9) = 41 + 2x (9 + 18x) = 41 + 2x Solving 9 + 18x = 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. 9 + 18x + -2x = 41 + 2x + -2x Combine like terms: 18x + -2x = 16x 9 + 16x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 16x = 41 + 0 9 + 16x = 41 Add '-9' to each side of the equation. 9 + -9 + 16x = 41 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 41 + -9 16x = 41 + -9 Combine like terms: 41 + -9 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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