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Simplifying 3(x + 4) = 9x + -2(3x + -6) Reorder the terms: 3(4 + x) = 9x + -2(3x + -6) (4 * 3 + x * 3) = 9x + -2(3x + -6) (12 + 3x) = 9x + -2(3x + -6) Reorder the terms: 12 + 3x = 9x + -2(-6 + 3x) 12 + 3x = 9x + (-6 * -2 + 3x * -2) 12 + 3x = 9x + (12 + -6x) Reorder the terms: 12 + 3x = 12 + 9x + -6x Combine like terms: 9x + -6x = 3x 12 + 3x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -12 + 3x 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 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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