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Simplifying 5x + 1 + 7x + -5 = 5x + 1 + 7x + -5 Reorder the terms: 1 + -5 + 5x + 7x = 5x + 1 + 7x + -5 Combine like terms: 1 + -5 = -4 -4 + 5x + 7x = 5x + 1 + 7x + -5 Combine like terms: 5x + 7x = 12x -4 + 12x = 5x + 1 + 7x + -5 Reorder the terms: -4 + 12x = 1 + -5 + 5x + 7x Combine like terms: 1 + -5 = -4 -4 + 12x = -4 + 5x + 7x Combine like terms: 5x + 7x = 12x -4 + 12x = -4 + 12x Add '4' to each side of the equation. -4 + 4 + 12x = -4 + 4 + 12x Combine like terms: -4 + 4 = 0 0 + 12x = -4 + 4 + 12x 12x = -4 + 4 + 12x Combine like terms: -4 + 4 = 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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