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Simplifying 12x + 1 = 3[4x + 1] + -2 Reorder the terms: 1 + 12x = 3[4x + 1] + -2 Reorder the terms: 1 + 12x = 3[1 + 4x] + -2 1 + 12x = [1 * 3 + 4x * 3] + -2 1 + 12x = [3 + 12x] + -2 Reorder the terms: 1 + 12x = 3 + -2 + 12x Combine like terms: 3 + -2 = 1 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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