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Simplifying (8 + 3x) * 14 + -30 = 1762 Reorder the terms for easier multiplication: 14(8 + 3x) + -30 = 1762 (8 * 14 + 3x * 14) + -30 = 1762 (112 + 42x) + -30 = 1762 Reorder the terms: 112 + -30 + 42x = 1762 Combine like terms: 112 + -30 = 82 82 + 42x = 1762 Solving 82 + 42x = 1762 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 + 42x = 1762 + -82 Combine like terms: 82 + -82 = 0 0 + 42x = 1762 + -82 42x = 1762 + -82 Combine like terms: 1762 + -82 = 1680 42x = 1680 Divide each side by '42'. x = 40 Simplifying x = 40
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