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