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Simplifying 6(7 + 9x) + 2(13 + -2x) = 368 (7 * 6 + 9x * 6) + 2(13 + -2x) = 368 (42 + 54x) + 2(13 + -2x) = 368 42 + 54x + (13 * 2 + -2x * 2) = 368 42 + 54x + (26 + -4x) = 368 Reorder the terms: 42 + 26 + 54x + -4x = 368 Combine like terms: 42 + 26 = 68 68 + 54x + -4x = 368 Combine like terms: 54x + -4x = 50x 68 + 50x = 368 Solving 68 + 50x = 368 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 50x = 368 + -68 Combine like terms: 68 + -68 = 0 0 + 50x = 368 + -68 50x = 368 + -68 Combine like terms: 368 + -68 = 300 50x = 300 Divide each side by '50'. x = 6 Simplifying x = 6
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