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Simplifying 27x + -9 = 3(7x + -2) + 6x + -3 Reorder the terms: -9 + 27x = 3(7x + -2) + 6x + -3 Reorder the terms: -9 + 27x = 3(-2 + 7x) + 6x + -3 -9 + 27x = (-2 * 3 + 7x * 3) + 6x + -3 -9 + 27x = (-6 + 21x) + 6x + -3 Reorder the terms: -9 + 27x = -6 + -3 + 21x + 6x Combine like terms: -6 + -3 = -9 -9 + 27x = -9 + 21x + 6x Combine like terms: 21x + 6x = 27x -9 + 27x = -9 + 27x Add '9' to each side of the equation. -9 + 9 + 27x = -9 + 9 + 27x Combine like terms: -9 + 9 = 0 0 + 27x = -9 + 9 + 27x 27x = -9 + 9 + 27x Combine like terms: -9 + 9 = 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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