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Simplifying 30x + 7(x + 6) = 37(x + 1) + 5 Reorder the terms: 30x + 7(6 + x) = 37(x + 1) + 5 30x + (6 * 7 + x * 7) = 37(x + 1) + 5 30x + (42 + 7x) = 37(x + 1) + 5 Reorder the terms: 42 + 30x + 7x = 37(x + 1) + 5 Combine like terms: 30x + 7x = 37x 42 + 37x = 37(x + 1) + 5 Reorder the terms: 42 + 37x = 37(1 + x) + 5 42 + 37x = (1 * 37 + x * 37) + 5 42 + 37x = (37 + 37x) + 5 Reorder the terms: 42 + 37x = 37 + 5 + 37x Combine like terms: 37 + 5 = 42 42 + 37x = 42 + 37x Add '-42' to each side of the equation. 42 + -42 + 37x = 42 + -42 + 37x Combine like terms: 42 + -42 = 0 0 + 37x = 42 + -42 + 37x 37x = 42 + -42 + 37x Combine like terms: 42 + -42 = 0 37x = 0 + 37x 37x = 37x Add '-37x' to each side of the equation. 37x + -37x = 37x + -37x Combine like terms: 37x + -37x = 0 0 = 37x + -37x Combine like terms: 37x + -37x = 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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