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Simplifying 4(3x + 8) = 21x + 1 + -9x + 31 Reorder the terms: 4(8 + 3x) = 21x + 1 + -9x + 31 (8 * 4 + 3x * 4) = 21x + 1 + -9x + 31 (32 + 12x) = 21x + 1 + -9x + 31 Reorder the terms: 32 + 12x = 1 + 31 + 21x + -9x Combine like terms: 1 + 31 = 32 32 + 12x = 32 + 21x + -9x Combine like terms: 21x + -9x = 12x 32 + 12x = 32 + 12x Add '-32' to each side of the equation. 32 + -32 + 12x = 32 + -32 + 12x Combine like terms: 32 + -32 = 0 0 + 12x = 32 + -32 + 12x 12x = 32 + -32 + 12x Combine like terms: 32 + -32 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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