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Simplifying (7 + x) * 7 = (6 + 15) * 6 Reorder the terms for easier multiplication: 7(7 + x) = (6 + 15) * 6 (7 * 7 + x * 7) = (6 + 15) * 6 (49 + 7x) = (6 + 15) * 6 Combine like terms: 6 + 15 = 21 49 + 7x = (21) * 6 Multiply 21 * 6 49 + 7x = 126 Solving 49 + 7x = 126 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 = 126 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = 126 + -49 7x = 126 + -49 Combine like terms: 126 + -49 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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