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Simplifying -1(x + -5) + 7 = 12 + -1x Reorder the terms: -1(-5 + x) + 7 = 12 + -1x (-5 * -1 + x * -1) + 7 = 12 + -1x (5 + -1x) + 7 = 12 + -1x Reorder the terms: 5 + 7 + -1x = 12 + -1x Combine like terms: 5 + 7 = 12 12 + -1x = 12 + -1x Add '-12' to each side of the equation. 12 + -12 + -1x = 12 + -12 + -1x Combine like terms: 12 + -12 = 0 0 + -1x = 12 + -12 + -1x -1x = 12 + -12 + -1x Combine like terms: 12 + -12 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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