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Simplifying 27x + -2 = 5(5x + -1) + 2x + 3 Reorder the terms: -2 + 27x = 5(5x + -1) + 2x + 3 Reorder the terms: -2 + 27x = 5(-1 + 5x) + 2x + 3 -2 + 27x = (-1 * 5 + 5x * 5) + 2x + 3 -2 + 27x = (-5 + 25x) + 2x + 3 Reorder the terms: -2 + 27x = -5 + 3 + 25x + 2x Combine like terms: -5 + 3 = -2 -2 + 27x = -2 + 25x + 2x Combine like terms: 25x + 2x = 27x -2 + 27x = -2 + 27x Add '2' to each side of the equation. -2 + 2 + 27x = -2 + 2 + 27x Combine like terms: -2 + 2 = 0 0 + 27x = -2 + 2 + 27x 27x = -2 + 2 + 27x Combine like terms: -2 + 2 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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