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Simplifying 21x + -27 = 4(4x + -7) + 5x + 1 Reorder the terms: -27 + 21x = 4(4x + -7) + 5x + 1 Reorder the terms: -27 + 21x = 4(-7 + 4x) + 5x + 1 -27 + 21x = (-7 * 4 + 4x * 4) + 5x + 1 -27 + 21x = (-28 + 16x) + 5x + 1 Reorder the terms: -27 + 21x = -28 + 1 + 16x + 5x Combine like terms: -28 + 1 = -27 -27 + 21x = -27 + 16x + 5x Combine like terms: 16x + 5x = 21x -27 + 21x = -27 + 21x Add '27' to each side of the equation. -27 + 27 + 21x = -27 + 27 + 21x Combine like terms: -27 + 27 = 0 0 + 21x = -27 + 27 + 21x 21x = -27 + 27 + 21x Combine like terms: -27 + 27 = 0 21x = 0 + 21x 21x = 21x Add '-21x' to each side of the equation. 21x + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 0 = 21x + -21x Combine like terms: 21x + -21x = 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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