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Simplifying 5(2b + 1) + -3(b + 1) = 7b + 5 Reorder the terms: 5(1 + 2b) + -3(b + 1) = 7b + 5 (1 * 5 + 2b * 5) + -3(b + 1) = 7b + 5 (5 + 10b) + -3(b + 1) = 7b + 5 Reorder the terms: 5 + 10b + -3(1 + b) = 7b + 5 5 + 10b + (1 * -3 + b * -3) = 7b + 5 5 + 10b + (-3 + -3b) = 7b + 5 Reorder the terms: 5 + -3 + 10b + -3b = 7b + 5 Combine like terms: 5 + -3 = 2 2 + 10b + -3b = 7b + 5 Combine like terms: 10b + -3b = 7b 2 + 7b = 7b + 5 Reorder the terms: 2 + 7b = 5 + 7b Add '-7b' to each side of the equation. 2 + 7b + -7b = 5 + 7b + -7b Combine like terms: 7b + -7b = 0 2 + 0 = 5 + 7b + -7b 2 = 5 + 7b + -7b Combine like terms: 7b + -7b = 0 2 = 5 + 0 2 = 5 Solving 2 = 5 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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