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Simplifying 21x + 9 = 4(4x + 4) + 5x + -7 Reorder the terms: 9 + 21x = 4(4x + 4) + 5x + -7 Reorder the terms: 9 + 21x = 4(4 + 4x) + 5x + -7 9 + 21x = (4 * 4 + 4x * 4) + 5x + -7 9 + 21x = (16 + 16x) + 5x + -7 Reorder the terms: 9 + 21x = 16 + -7 + 16x + 5x Combine like terms: 16 + -7 = 9 9 + 21x = 9 + 16x + 5x Combine like terms: 16x + 5x = 21x 9 + 21x = 9 + 21x Add '-9' to each side of the equation. 9 + -9 + 21x = 9 + -9 + 21x Combine like terms: 9 + -9 = 0 0 + 21x = 9 + -9 + 21x 21x = 9 + -9 + 21x Combine like terms: 9 + -9 = 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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