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Simplifying 6(-2x + 2) + 7x + 2 = 2x + 6 + -7x + 8 Reorder the terms: 6(2 + -2x) + 7x + 2 = 2x + 6 + -7x + 8 (2 * 6 + -2x * 6) + 7x + 2 = 2x + 6 + -7x + 8 (12 + -12x) + 7x + 2 = 2x + 6 + -7x + 8 Reorder the terms: 12 + 2 + -12x + 7x = 2x + 6 + -7x + 8 Combine like terms: 12 + 2 = 14 14 + -12x + 7x = 2x + 6 + -7x + 8 Combine like terms: -12x + 7x = -5x 14 + -5x = 2x + 6 + -7x + 8 Reorder the terms: 14 + -5x = 6 + 8 + 2x + -7x Combine like terms: 6 + 8 = 14 14 + -5x = 14 + 2x + -7x Combine like terms: 2x + -7x = -5x 14 + -5x = 14 + -5x Add '-14' to each side of the equation. 14 + -14 + -5x = 14 + -14 + -5x Combine like terms: 14 + -14 = 0 0 + -5x = 14 + -14 + -5x -5x = 14 + -14 + -5x Combine like terms: 14 + -14 = 0 -5x = 0 + -5x -5x = -5x Add '5x' to each side of the equation. -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 0 = -5x + 5x Combine like terms: -5x + 5x = 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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