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Simplifying 74 + 2(x + 4) + (5x) = 180 Reorder the terms: 74 + 2(4 + x) + (5x) = 180 74 + (4 * 2 + x * 2) + (5x) = 180 74 + (8 + 2x) + (5x) = 180 Combine like terms: 74 + 8 = 82 82 + 2x + (5x) = 180 Combine like terms: 2x + (5x) = 7x 82 + 7x = 180 Solving 82 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 7x = 180 + -82 Combine like terms: 82 + -82 = 0 0 + 7x = 180 + -82 7x = 180 + -82 Combine like terms: 180 + -82 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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