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Simplifying 3x + -1(8x + -6) = -2 + -1(5x + 7) Reorder the terms: 3x + -1(-6 + 8x) = -2 + -1(5x + 7) 3x + (-6 * -1 + 8x * -1) = -2 + -1(5x + 7) 3x + (6 + -8x) = -2 + -1(5x + 7) Reorder the terms: 6 + 3x + -8x = -2 + -1(5x + 7) Combine like terms: 3x + -8x = -5x 6 + -5x = -2 + -1(5x + 7) Reorder the terms: 6 + -5x = -2 + -1(7 + 5x) 6 + -5x = -2 + (7 * -1 + 5x * -1) 6 + -5x = -2 + (-7 + -5x) Combine like terms: -2 + -7 = -9 6 + -5x = -9 + -5x Add '5x' to each side of the equation. 6 + -5x + 5x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 0 = -9 + -5x + 5x 6 = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 6 = -9 + 0 6 = -9 Solving 6 = -9 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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