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