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Simplifying 12x + -1 = 2(3x + 1) + 6x + -3 Reorder the terms: -1 + 12x = 2(3x + 1) + 6x + -3 Reorder the terms: -1 + 12x = 2(1 + 3x) + 6x + -3 -1 + 12x = (1 * 2 + 3x * 2) + 6x + -3 -1 + 12x = (2 + 6x) + 6x + -3 Reorder the terms: -1 + 12x = 2 + -3 + 6x + 6x Combine like terms: 2 + -3 = -1 -1 + 12x = -1 + 6x + 6x Combine like terms: 6x + 6x = 12x -1 + 12x = -1 + 12x Add '1' to each side of the equation. -1 + 1 + 12x = -1 + 1 + 12x Combine like terms: -1 + 1 = 0 0 + 12x = -1 + 1 + 12x 12x = -1 + 1 + 12x Combine like terms: -1 + 1 = 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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