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Simplifying 8 + -7(3x + 2) = 9x + -6(5x + 1) Reorder the terms: 8 + -7(2 + 3x) = 9x + -6(5x + 1) 8 + (2 * -7 + 3x * -7) = 9x + -6(5x + 1) 8 + (-14 + -21x) = 9x + -6(5x + 1) Combine like terms: 8 + -14 = -6 -6 + -21x = 9x + -6(5x + 1) Reorder the terms: -6 + -21x = 9x + -6(1 + 5x) -6 + -21x = 9x + (1 * -6 + 5x * -6) -6 + -21x = 9x + (-6 + -30x) Reorder the terms: -6 + -21x = -6 + 9x + -30x Combine like terms: 9x + -30x = -21x -6 + -21x = -6 + -21x Add '6' to each side of the equation. -6 + 6 + -21x = -6 + 6 + -21x Combine like terms: -6 + 6 = 0 0 + -21x = -6 + 6 + -21x -21x = -6 + 6 + -21x Combine like terms: -6 + 6 = 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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