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Simplifying 2X + 5 + -7X = 7 + -1(5X + 2) Reorder the terms: 5 + 2X + -7X = 7 + -1(5X + 2) Combine like terms: 2X + -7X = -5X 5 + -5X = 7 + -1(5X + 2) Reorder the terms: 5 + -5X = 7 + -1(2 + 5X) 5 + -5X = 7 + (2 * -1 + 5X * -1) 5 + -5X = 7 + (-2 + -5X) Combine like terms: 7 + -2 = 5 5 + -5X = 5 + -5X Add '-5' to each side of the equation. 5 + -5 + -5X = 5 + -5 + -5X Combine like terms: 5 + -5 = 0 0 + -5X = 5 + -5 + -5X -5X = 5 + -5 + -5X Combine like terms: 5 + -5 = 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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