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Simplifying 7(10 + 6x) = 406 (10 * 7 + 6x * 7) = 406 (70 + 42x) = 406 Solving 70 + 42x = 406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 42x = 406 + -70 Combine like terms: 70 + -70 = 0 0 + 42x = 406 + -70 42x = 406 + -70 Combine like terms: 406 + -70 = 336 42x = 336 Divide each side by '42'. x = 8 Simplifying x = 8
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