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Simplifying x + 5(x + 1) = 71 Reorder the terms: x + 5(1 + x) = 71 x + (1 * 5 + x * 5) = 71 x + (5 + 5x) = 71 Reorder the terms: 5 + x + 5x = 71 Combine like terms: x + 5x = 6x 5 + 6x = 71 Solving 5 + 6x = 71 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 = 71 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 71 + -5 6x = 71 + -5 Combine like terms: 71 + -5 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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