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Simplifying -7(1 + -3x) + -2 = 9(3x + -1) + -6x (1 * -7 + -3x * -7) + -2 = 9(3x + -1) + -6x (-7 + 21x) + -2 = 9(3x + -1) + -6x Reorder the terms: -7 + -2 + 21x = 9(3x + -1) + -6x Combine like terms: -7 + -2 = -9 -9 + 21x = 9(3x + -1) + -6x Reorder the terms: -9 + 21x = 9(-1 + 3x) + -6x -9 + 21x = (-1 * 9 + 3x * 9) + -6x -9 + 21x = (-9 + 27x) + -6x Combine like terms: 27x + -6x = 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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