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Simplifying 49x + 27 = 6(7x + 3) + 7x + 9 Reorder the terms: 27 + 49x = 6(7x + 3) + 7x + 9 Reorder the terms: 27 + 49x = 6(3 + 7x) + 7x + 9 27 + 49x = (3 * 6 + 7x * 6) + 7x + 9 27 + 49x = (18 + 42x) + 7x + 9 Reorder the terms: 27 + 49x = 18 + 9 + 42x + 7x Combine like terms: 18 + 9 = 27 27 + 49x = 27 + 42x + 7x Combine like terms: 42x + 7x = 49x 27 + 49x = 27 + 49x Add '-27' to each side of the equation. 27 + -27 + 49x = 27 + -27 + 49x Combine like terms: 27 + -27 = 0 0 + 49x = 27 + -27 + 49x 49x = 27 + -27 + 49x Combine like terms: 27 + -27 = 0 49x = 0 + 49x 49x = 49x Add '-49x' to each side of the equation. 49x + -49x = 49x + -49x Combine like terms: 49x + -49x = 0 0 = 49x + -49x Combine like terms: 49x + -49x = 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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