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Simplifying -1(x + 1) + 7 = 5x + 6 + -6x Reorder the terms: -1(1 + x) + 7 = 5x + 6 + -6x (1 * -1 + x * -1) + 7 = 5x + 6 + -6x (-1 + -1x) + 7 = 5x + 6 + -6x Reorder the terms: -1 + 7 + -1x = 5x + 6 + -6x Combine like terms: -1 + 7 = 6 6 + -1x = 5x + 6 + -6x Reorder the terms: 6 + -1x = 6 + 5x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = 6 + -1x Add '-6' to each side of the equation. 6 + -6 + -1x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 0 + -1x = 6 + -6 + -1x -1x = 6 + -6 + -1x Combine like terms: 6 + -6 = 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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