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Simplifying 2(5x + 9) + 2(3x + -8) = 338 Reorder the terms: 2(9 + 5x) + 2(3x + -8) = 338 (9 * 2 + 5x * 2) + 2(3x + -8) = 338 (18 + 10x) + 2(3x + -8) = 338 Reorder the terms: 18 + 10x + 2(-8 + 3x) = 338 18 + 10x + (-8 * 2 + 3x * 2) = 338 18 + 10x + (-16 + 6x) = 338 Reorder the terms: 18 + -16 + 10x + 6x = 338 Combine like terms: 18 + -16 = 2 2 + 10x + 6x = 338 Combine like terms: 10x + 6x = 16x 2 + 16x = 338 Solving 2 + 16x = 338 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 16x = 338 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 338 + -2 16x = 338 + -2 Combine like terms: 338 + -2 = 336 16x = 336 Divide each side by '16'. x = 21 Simplifying x = 21
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