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Simplifying 7(x + 6) = 7(x + 15) Reorder the terms: 7(6 + x) = 7(x + 15) (6 * 7 + x * 7) = 7(x + 15) (42 + 7x) = 7(x + 15) Reorder the terms: 42 + 7x = 7(15 + x) 42 + 7x = (15 * 7 + x * 7) 42 + 7x = (105 + 7x) Add '-7x' to each side of the equation. 42 + 7x + -7x = 105 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + 0 = 105 + 7x + -7x 42 = 105 + 7x + -7x Combine like terms: 7x + -7x = 0 42 = 105 + 0 42 = 105 Solving 42 = 105 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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