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