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Simplifying 71 = 7x + 2(2x + 8) Reorder the terms: 71 = 7x + 2(8 + 2x) 71 = 7x + (8 * 2 + 2x * 2) 71 = 7x + (16 + 4x) Reorder the terms: 71 = 16 + 7x + 4x Combine like terms: 7x + 4x = 11x 71 = 16 + 11x Solving 71 = 16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 71 + -11x = 16 + 11x + -11x Combine like terms: 11x + -11x = 0 71 + -11x = 16 + 0 71 + -11x = 16 Add '-71' to each side of the equation. 71 + -71 + -11x = 16 + -71 Combine like terms: 71 + -71 = 0 0 + -11x = 16 + -71 -11x = 16 + -71 Combine like terms: 16 + -71 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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