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Simplifying 3(3x + 1) = 13x + 2 + -4x + 1 Reorder the terms: 3(1 + 3x) = 13x + 2 + -4x + 1 (1 * 3 + 3x * 3) = 13x + 2 + -4x + 1 (3 + 9x) = 13x + 2 + -4x + 1 Reorder the terms: 3 + 9x = 2 + 1 + 13x + -4x Combine like terms: 2 + 1 = 3 3 + 9x = 3 + 13x + -4x Combine like terms: 13x + -4x = 9x 3 + 9x = 3 + 9x Add '-3' to each side of the equation. 3 + -3 + 9x = 3 + -3 + 9x Combine like terms: 3 + -3 = 0 0 + 9x = 3 + -3 + 9x 9x = 3 + -3 + 9x Combine like terms: 3 + -3 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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