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Simplifying 2(11x + 9) + 2(4x + 5) = 298 Reorder the terms: 2(9 + 11x) + 2(4x + 5) = 298 (9 * 2 + 11x * 2) + 2(4x + 5) = 298 (18 + 22x) + 2(4x + 5) = 298 Reorder the terms: 18 + 22x + 2(5 + 4x) = 298 18 + 22x + (5 * 2 + 4x * 2) = 298 18 + 22x + (10 + 8x) = 298 Reorder the terms: 18 + 10 + 22x + 8x = 298 Combine like terms: 18 + 10 = 28 28 + 22x + 8x = 298 Combine like terms: 22x + 8x = 30x 28 + 30x = 298 Solving 28 + 30x = 298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 30x = 298 + -28 Combine like terms: 28 + -28 = 0 0 + 30x = 298 + -28 30x = 298 + -28 Combine like terms: 298 + -28 = 270 30x = 270 Divide each side by '30'. x = 9 Simplifying x = 9
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