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Simplifying 12x + -7 + 2x + 6 = x + 7 + 13x + -8 Reorder the terms: -7 + 6 + 12x + 2x = x + 7 + 13x + -8 Combine like terms: -7 + 6 = -1 -1 + 12x + 2x = x + 7 + 13x + -8 Combine like terms: 12x + 2x = 14x -1 + 14x = x + 7 + 13x + -8 Reorder the terms: -1 + 14x = 7 + -8 + x + 13x Combine like terms: 7 + -8 = -1 -1 + 14x = -1 + x + 13x Combine like terms: x + 13x = 14x -1 + 14x = -1 + 14x Add '1' to each side of the equation. -1 + 1 + 14x = -1 + 1 + 14x Combine like terms: -1 + 1 = 0 0 + 14x = -1 + 1 + 14x 14x = -1 + 1 + 14x Combine like terms: -1 + 1 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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