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Simplifying 2(2 + -8x + -9x) + 9(3x + 5) = 28 Combine like terms: -8x + -9x = -17x 2(2 + -17x) + 9(3x + 5) = 28 (2 * 2 + -17x * 2) + 9(3x + 5) = 28 (4 + -34x) + 9(3x + 5) = 28 Reorder the terms: 4 + -34x + 9(5 + 3x) = 28 4 + -34x + (5 * 9 + 3x * 9) = 28 4 + -34x + (45 + 27x) = 28 Reorder the terms: 4 + 45 + -34x + 27x = 28 Combine like terms: 4 + 45 = 49 49 + -34x + 27x = 28 Combine like terms: -34x + 27x = -7x 49 + -7x = 28 Solving 49 + -7x = 28 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 = 28 + -49 Combine like terms: 49 + -49 = 0 0 + -7x = 28 + -49 -7x = 28 + -49 Combine like terms: 28 + -49 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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