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Simplifying 3(9 + -1x) + -39 = 27x + -6(2 + 5x) (9 * 3 + -1x * 3) + -39 = 27x + -6(2 + 5x) (27 + -3x) + -39 = 27x + -6(2 + 5x) Reorder the terms: 27 + -39 + -3x = 27x + -6(2 + 5x) Combine like terms: 27 + -39 = -12 -12 + -3x = 27x + -6(2 + 5x) -12 + -3x = 27x + (2 * -6 + 5x * -6) -12 + -3x = 27x + (-12 + -30x) Reorder the terms: -12 + -3x = -12 + 27x + -30x Combine like terms: 27x + -30x = -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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