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