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Simplifying x + 5(x + 1) = 47 Reorder the terms: x + 5(1 + x) = 47 x + (1 * 5 + x * 5) = 47 x + (5 + 5x) = 47 Reorder the terms: 5 + x + 5x = 47 Combine like terms: x + 5x = 6x 5 + 6x = 47 Solving 5 + 6x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 47 + -5 6x = 47 + -5 Combine like terms: 47 + -5 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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