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Simplifying 2x + 5(x + 2) = 171 Reorder the terms: 2x + 5(2 + x) = 171 2x + (2 * 5 + x * 5) = 171 2x + (10 + 5x) = 171 Reorder the terms: 10 + 2x + 5x = 171 Combine like terms: 2x + 5x = 7x 10 + 7x = 171 Solving 10 + 7x = 171 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 + 7x = 171 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 171 + -10 7x = 171 + -10 Combine like terms: 171 + -10 = 161 7x = 161 Divide each side by '7'. x = 23 Simplifying x = 23
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