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Simplifying 3x + 2(4x + 5) = 76 Reorder the terms: 3x + 2(5 + 4x) = 76 3x + (5 * 2 + 4x * 2) = 76 3x + (10 + 8x) = 76 Reorder the terms: 10 + 3x + 8x = 76 Combine like terms: 3x + 8x = 11x 10 + 11x = 76 Solving 10 + 11x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11x = 76 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 76 + -10 11x = 76 + -10 Combine like terms: 76 + -10 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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