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Simplifying 12x + -1 = 2(4x + -3) + 4x + 5 Reorder the terms: -1 + 12x = 2(4x + -3) + 4x + 5 Reorder the terms: -1 + 12x = 2(-3 + 4x) + 4x + 5 -1 + 12x = (-3 * 2 + 4x * 2) + 4x + 5 -1 + 12x = (-6 + 8x) + 4x + 5 Reorder the terms: -1 + 12x = -6 + 5 + 8x + 4x Combine like terms: -6 + 5 = -1 -1 + 12x = -1 + 8x + 4x Combine like terms: 8x + 4x = 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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