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Simplifying 5x + 8 + -7x = 12 + -14x + 12x + -4 Reorder the terms: 8 + 5x + -7x = 12 + -14x + 12x + -4 Combine like terms: 5x + -7x = -2x 8 + -2x = 12 + -14x + 12x + -4 Reorder the terms: 8 + -2x = 12 + -4 + -14x + 12x Combine like terms: 12 + -4 = 8 8 + -2x = 8 + -14x + 12x Combine like terms: -14x + 12x = -2x 8 + -2x = 8 + -2x Add '-8' to each side of the equation. 8 + -8 + -2x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 0 + -2x = 8 + -8 + -2x -2x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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