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Simplifying 3(4x + 1) = 15x + 1 + -3x + 2 Reorder the terms: 3(1 + 4x) = 15x + 1 + -3x + 2 (1 * 3 + 4x * 3) = 15x + 1 + -3x + 2 (3 + 12x) = 15x + 1 + -3x + 2 Reorder the terms: 3 + 12x = 1 + 2 + 15x + -3x Combine like terms: 1 + 2 = 3 3 + 12x = 3 + 15x + -3x Combine like terms: 15x + -3x = 12x 3 + 12x = 3 + 12x Add '-3' to each side of the equation. 3 + -3 + 12x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 0 + 12x = 3 + -3 + 12x 12x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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