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Simplifying 9x + -5x + -1(2 + 6x) + 8 = 6x + -1(5x + 2 + 3x) + 2 9x + -5x + (2 * -1 + 6x * -1) + 8 = 6x + -1(5x + 2 + 3x) + 2 9x + -5x + (-2 + -6x) + 8 = 6x + -1(5x + 2 + 3x) + 2 Reorder the terms: -2 + 8 + 9x + -5x + -6x = 6x + -1(5x + 2 + 3x) + 2 Combine like terms: -2 + 8 = 6 6 + 9x + -5x + -6x = 6x + -1(5x + 2 + 3x) + 2 Combine like terms: 9x + -5x = 4x 6 + 4x + -6x = 6x + -1(5x + 2 + 3x) + 2 Combine like terms: 4x + -6x = -2x 6 + -2x = 6x + -1(5x + 2 + 3x) + 2 Reorder the terms: 6 + -2x = 6x + -1(2 + 5x + 3x) + 2 Combine like terms: 5x + 3x = 8x 6 + -2x = 6x + -1(2 + 8x) + 2 6 + -2x = 6x + (2 * -1 + 8x * -1) + 2 6 + -2x = 6x + (-2 + -8x) + 2 Reorder the terms: 6 + -2x = -2 + 2 + 6x + -8x Combine like terms: -2 + 2 = 0 6 + -2x = 0 + 6x + -8x 6 + -2x = 6x + -8x Combine like terms: 6x + -8x = -2x 6 + -2x = -2x Add '2x' to each side of the equation. 6 + -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 6 + 0 = -2x + 2x 6 = -2x + 2x Combine like terms: -2x + 2x = 0 6 = 0 Solving 6 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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