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Simplifying -1(2x + -8) + 1 = 7x + 9(1 + -1x) Reorder the terms: -1(-8 + 2x) + 1 = 7x + 9(1 + -1x) (-8 * -1 + 2x * -1) + 1 = 7x + 9(1 + -1x) (8 + -2x) + 1 = 7x + 9(1 + -1x) Reorder the terms: 8 + 1 + -2x = 7x + 9(1 + -1x) Combine like terms: 8 + 1 = 9 9 + -2x = 7x + 9(1 + -1x) 9 + -2x = 7x + (1 * 9 + -1x * 9) 9 + -2x = 7x + (9 + -9x) Reorder the terms: 9 + -2x = 9 + 7x + -9x Combine like terms: 7x + -9x = -2x 9 + -2x = 9 + -2x Add '-9' to each side of the equation. 9 + -9 + -2x = 9 + -9 + -2x Combine like terms: 9 + -9 = 0 0 + -2x = 9 + -9 + -2x -2x = 9 + -9 + -2x Combine like terms: 9 + -9 = 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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