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Simplifying 7(x + 7) = x + 2 Reorder the terms: 7(7 + x) = x + 2 (7 * 7 + x * 7) = x + 2 (49 + 7x) = x + 2 Reorder the terms: 49 + 7x = 2 + x Solving 49 + 7x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 49 + 7x + -1x = 2 + x + -1x Combine like terms: 7x + -1x = 6x 49 + 6x = 2 + x + -1x Combine like terms: x + -1x = 0 49 + 6x = 2 + 0 49 + 6x = 2 Add '-49' to each side of the equation. 49 + -49 + 6x = 2 + -49 Combine like terms: 49 + -49 = 0 0 + 6x = 2 + -49 6x = 2 + -49 Combine like terms: 2 + -49 = -47 6x = -47 Divide each side by '6'. x = -7.833333333 Simplifying x = -7.833333333
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