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Simplifying 7(s + 5) = 7(s + 1) + 7 Reorder the terms: 7(5 + s) = 7(s + 1) + 7 (5 * 7 + s * 7) = 7(s + 1) + 7 (35 + 7s) = 7(s + 1) + 7 Reorder the terms: 35 + 7s = 7(1 + s) + 7 35 + 7s = (1 * 7 + s * 7) + 7 35 + 7s = (7 + 7s) + 7 Reorder the terms: 35 + 7s = 7 + 7 + 7s Combine like terms: 7 + 7 = 14 35 + 7s = 14 + 7s Add '-7s' to each side of the equation. 35 + 7s + -7s = 14 + 7s + -7s Combine like terms: 7s + -7s = 0 35 + 0 = 14 + 7s + -7s 35 = 14 + 7s + -7s Combine like terms: 7s + -7s = 0 35 = 14 + 0 35 = 14 Solving 35 = 14 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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