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Simplifying -1(3x + 8) + 17 = 2x + 9 + -5x Reorder the terms: -1(8 + 3x) + 17 = 2x + 9 + -5x (8 * -1 + 3x * -1) + 17 = 2x + 9 + -5x (-8 + -3x) + 17 = 2x + 9 + -5x Reorder the terms: -8 + 17 + -3x = 2x + 9 + -5x Combine like terms: -8 + 17 = 9 9 + -3x = 2x + 9 + -5x Reorder the terms: 9 + -3x = 9 + 2x + -5x Combine like terms: 2x + -5x = -3x 9 + -3x = 9 + -3x Add '-9' to each side of the equation. 9 + -9 + -3x = 9 + -9 + -3x Combine like terms: 9 + -9 = 0 0 + -3x = 9 + -9 + -3x -3x = 9 + -9 + -3x Combine like terms: 9 + -9 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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