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Simplifying 3x + 2(5x + 4) = 47 Reorder the terms: 3x + 2(4 + 5x) = 47 3x + (4 * 2 + 5x * 2) = 47 3x + (8 + 10x) = 47 Reorder the terms: 8 + 3x + 10x = 47 Combine like terms: 3x + 10x = 13x 8 + 13x = 47 Solving 8 + 13x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13x = 47 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 47 + -8 13x = 47 + -8 Combine like terms: 47 + -8 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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