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Simplifying 2(4 + -9x + -8x) + 6(6x + 2) = 28 Combine like terms: -9x + -8x = -17x 2(4 + -17x) + 6(6x + 2) = 28 (4 * 2 + -17x * 2) + 6(6x + 2) = 28 (8 + -34x) + 6(6x + 2) = 28 Reorder the terms: 8 + -34x + 6(2 + 6x) = 28 8 + -34x + (2 * 6 + 6x * 6) = 28 8 + -34x + (12 + 36x) = 28 Reorder the terms: 8 + 12 + -34x + 36x = 28 Combine like terms: 8 + 12 = 20 20 + -34x + 36x = 28 Combine like terms: -34x + 36x = 2x 20 + 2x = 28 Solving 20 + 2x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 28 + -20 2x = 28 + -20 Combine like terms: 28 + -20 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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