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Simplifying 7(x + 7) = 6(14) Reorder the terms: 7(7 + x) = 6(14) (7 * 7 + x * 7) = 6(14) (49 + 7x) = 6(14) Multiply 6 * 14 49 + 7x = 84 Solving 49 + 7x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 7x = 84 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = 84 + -49 7x = 84 + -49 Combine like terms: 84 + -49 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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