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Simplifying 52x + 29 = 7(7x + 4) + 3x + 1 Reorder the terms: 29 + 52x = 7(7x + 4) + 3x + 1 Reorder the terms: 29 + 52x = 7(4 + 7x) + 3x + 1 29 + 52x = (4 * 7 + 7x * 7) + 3x + 1 29 + 52x = (28 + 49x) + 3x + 1 Reorder the terms: 29 + 52x = 28 + 1 + 49x + 3x Combine like terms: 28 + 1 = 29 29 + 52x = 29 + 49x + 3x Combine like terms: 49x + 3x = 52x 29 + 52x = 29 + 52x Add '-29' to each side of the equation. 29 + -29 + 52x = 29 + -29 + 52x Combine like terms: 29 + -29 = 0 0 + 52x = 29 + -29 + 52x 52x = 29 + -29 + 52x Combine like terms: 29 + -29 = 0 52x = 0 + 52x 52x = 52x Add '-52x' to each side of the equation. 52x + -52x = 52x + -52x Combine like terms: 52x + -52x = 0 0 = 52x + -52x Combine like terms: 52x + -52x = 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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