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Simplifying 3x + 1 + 2(x + 4) = 74 Reorder the terms: 3x + 1 + 2(4 + x) = 74 3x + 1 + (4 * 2 + x * 2) = 74 3x + 1 + (8 + 2x) = 74 Reorder the terms: 1 + 8 + 3x + 2x = 74 Combine like terms: 1 + 8 = 9 9 + 3x + 2x = 74 Combine like terms: 3x + 2x = 5x 9 + 5x = 74 Solving 9 + 5x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 74 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 74 + -9 5x = 74 + -9 Combine like terms: 74 + -9 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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