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Simplifying 47x + 43 = 6(7x + 7) + 5x Reorder the terms: 43 + 47x = 6(7x + 7) + 5x Reorder the terms: 43 + 47x = 6(7 + 7x) + 5x 43 + 47x = (7 * 6 + 7x * 6) + 5x 43 + 47x = (42 + 42x) + 5x Combine like terms: 42x + 5x = 47x 43 + 47x = 42 + 47x Add '-47x' to each side of the equation. 43 + 47x + -47x = 42 + 47x + -47x Combine like terms: 47x + -47x = 0 43 + 0 = 42 + 47x + -47x 43 = 42 + 47x + -47x Combine like terms: 47x + -47x = 0 43 = 42 + 0 43 = 42 Solving 43 = 42 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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