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