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Simplifying 2(x + 9) + 2(x) + 2(x + 5) + x + 7 = 77 Reorder the terms: 2(9 + x) + 2(x) + 2(x + 5) + x + 7 = 77 (9 * 2 + x * 2) + 2(x) + 2(x + 5) + x + 7 = 77 (18 + 2x) + 2(x) + 2(x + 5) + x + 7 = 77 Reorder the terms: 18 + 2x + 2x + 2(5 + x) + x + 7 = 77 18 + 2x + 2x + (5 * 2 + x * 2) + x + 7 = 77 18 + 2x + 2x + (10 + 2x) + x + 7 = 77 Reorder the terms: 18 + 10 + 7 + 2x + 2x + 2x + x = 77 Combine like terms: 18 + 10 = 28 28 + 7 + 2x + 2x + 2x + x = 77 Combine like terms: 28 + 7 = 35 35 + 2x + 2x + 2x + x = 77 Combine like terms: 2x + 2x = 4x 35 + 4x + 2x + x = 77 Combine like terms: 4x + 2x = 6x 35 + 6x + x = 77 Combine like terms: 6x + x = 7x 35 + 7x = 77 Solving 35 + 7x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7x = 77 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 77 + -35 7x = 77 + -35 Combine like terms: 77 + -35 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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