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Simplifying 3(2x + 13) = 76 + 4x Reorder the terms: 3(13 + 2x) = 76 + 4x (13 * 3 + 2x * 3) = 76 + 4x (39 + 6x) = 76 + 4x Solving 39 + 6x = 76 + 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. 39 + 6x + -4x = 76 + 4x + -4x Combine like terms: 6x + -4x = 2x 39 + 2x = 76 + 4x + -4x Combine like terms: 4x + -4x = 0 39 + 2x = 76 + 0 39 + 2x = 76 Add '-39' to each side of the equation. 39 + -39 + 2x = 76 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 76 + -39 2x = 76 + -39 Combine like terms: 76 + -39 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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