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Simplifying 40x + 47 = 7(5x + 6) + 5x + 5 Reorder the terms: 47 + 40x = 7(5x + 6) + 5x + 5 Reorder the terms: 47 + 40x = 7(6 + 5x) + 5x + 5 47 + 40x = (6 * 7 + 5x * 7) + 5x + 5 47 + 40x = (42 + 35x) + 5x + 5 Reorder the terms: 47 + 40x = 42 + 5 + 35x + 5x Combine like terms: 42 + 5 = 47 47 + 40x = 47 + 35x + 5x Combine like terms: 35x + 5x = 40x 47 + 40x = 47 + 40x Add '-47' to each side of the equation. 47 + -47 + 40x = 47 + -47 + 40x Combine like terms: 47 + -47 = 0 0 + 40x = 47 + -47 + 40x 40x = 47 + -47 + 40x Combine like terms: 47 + -47 = 0 40x = 0 + 40x 40x = 40x Add '-40x' to each side of the equation. 40x + -40x = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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