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Simplifying 5(3x + 8) + -8x + 9 = 77 Reorder the terms: 5(8 + 3x) + -8x + 9 = 77 (8 * 5 + 3x * 5) + -8x + 9 = 77 (40 + 15x) + -8x + 9 = 77 Reorder the terms: 40 + 9 + 15x + -8x = 77 Combine like terms: 40 + 9 = 49 49 + 15x + -8x = 77 Combine like terms: 15x + -8x = 7x 49 + 7x = 77 Solving 49 + 7x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 7x = 77 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = 77 + -49 7x = 77 + -49 Combine like terms: 77 + -49 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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