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Simplifying 4(3x + 7) = 20x + 1 + -8x + 27 Reorder the terms: 4(7 + 3x) = 20x + 1 + -8x + 27 (7 * 4 + 3x * 4) = 20x + 1 + -8x + 27 (28 + 12x) = 20x + 1 + -8x + 27 Reorder the terms: 28 + 12x = 1 + 27 + 20x + -8x Combine like terms: 1 + 27 = 28 28 + 12x = 28 + 20x + -8x Combine like terms: 20x + -8x = 12x 28 + 12x = 28 + 12x Add '-28' to each side of the equation. 28 + -28 + 12x = 28 + -28 + 12x Combine like terms: 28 + -28 = 0 0 + 12x = 28 + -28 + 12x 12x = 28 + -28 + 12x Combine like terms: 28 + -28 = 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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