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Simplifying -1(3X + -7) + 1 = 5X + 8(1 + -1X) Reorder the terms: -1(-7 + 3X) + 1 = 5X + 8(1 + -1X) (-7 * -1 + 3X * -1) + 1 = 5X + 8(1 + -1X) (7 + -3X) + 1 = 5X + 8(1 + -1X) Reorder the terms: 7 + 1 + -3X = 5X + 8(1 + -1X) Combine like terms: 7 + 1 = 8 8 + -3X = 5X + 8(1 + -1X) 8 + -3X = 5X + (1 * 8 + -1X * 8) 8 + -3X = 5X + (8 + -8X) Reorder the terms: 8 + -3X = 8 + 5X + -8X Combine like terms: 5X + -8X = -3X 8 + -3X = 8 + -3X Add '-8' to each side of the equation. 8 + -8 + -3X = 8 + -8 + -3X Combine like terms: 8 + -8 = 0 0 + -3X = 8 + -8 + -3X -3X = 8 + -8 + -3X Combine like terms: 8 + -8 = 0 -3X = 0 + -3X -3X = -3X Add '3X' to each side of the equation. -3X + 3X = -3X + 3X Combine like terms: -3X + 3X = 0 0 = -3X + 3X Combine like terms: -3X + 3X = 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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