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Simplifying -1(2x + -7) + 1 = 6x + 8(1 + -1x) Reorder the terms: -1(-7 + 2x) + 1 = 6x + 8(1 + -1x) (-7 * -1 + 2x * -1) + 1 = 6x + 8(1 + -1x) (7 + -2x) + 1 = 6x + 8(1 + -1x) Reorder the terms: 7 + 1 + -2x = 6x + 8(1 + -1x) Combine like terms: 7 + 1 = 8 8 + -2x = 6x + 8(1 + -1x) 8 + -2x = 6x + (1 * 8 + -1x * 8) 8 + -2x = 6x + (8 + -8x) Reorder the terms: 8 + -2x = 8 + 6x + -8x Combine like terms: 6x + -8x = -2x 8 + -2x = 8 + -2x Add '-8' to each side of the equation. 8 + -8 + -2x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 0 + -2x = 8 + -8 + -2x -2x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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