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Simplifying 5(4x + 6) + 3(2x + 7) = 77 Reorder the terms: 5(6 + 4x) + 3(2x + 7) = 77 (6 * 5 + 4x * 5) + 3(2x + 7) = 77 (30 + 20x) + 3(2x + 7) = 77 Reorder the terms: 30 + 20x + 3(7 + 2x) = 77 30 + 20x + (7 * 3 + 2x * 3) = 77 30 + 20x + (21 + 6x) = 77 Reorder the terms: 30 + 21 + 20x + 6x = 77 Combine like terms: 30 + 21 = 51 51 + 20x + 6x = 77 Combine like terms: 20x + 6x = 26x 51 + 26x = 77 Solving 51 + 26x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 26x = 77 + -51 Combine like terms: 51 + -51 = 0 0 + 26x = 77 + -51 26x = 77 + -51 Combine like terms: 77 + -51 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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