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