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Simplifying 3(2x + 7) = 4x + 41 Reorder the terms: 3(7 + 2x) = 4x + 41 (7 * 3 + 2x * 3) = 4x + 41 (21 + 6x) = 4x + 41 Reorder the terms: 21 + 6x = 41 + 4x Solving 21 + 6x = 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. 21 + 6x + -4x = 41 + 4x + -4x Combine like terms: 6x + -4x = 2x 21 + 2x = 41 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 2x = 41 + 0 21 + 2x = 41 Add '-21' to each side of the equation. 21 + -21 + 2x = 41 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 41 + -21 2x = 41 + -21 Combine like terms: 41 + -21 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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