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Simplifying 6(x + 7) + -8 = -1(1 + -5x) + x Reorder the terms: 6(7 + x) + -8 = -1(1 + -5x) + x (7 * 6 + x * 6) + -8 = -1(1 + -5x) + x (42 + 6x) + -8 = -1(1 + -5x) + x Reorder the terms: 42 + -8 + 6x = -1(1 + -5x) + x Combine like terms: 42 + -8 = 34 34 + 6x = -1(1 + -5x) + x 34 + 6x = (1 * -1 + -5x * -1) + x 34 + 6x = (-1 + 5x) + x Combine like terms: 5x + x = 6x 34 + 6x = -1 + 6x Add '-6x' to each side of the equation. 34 + 6x + -6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + 0 = -1 + 6x + -6x 34 = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 34 = -1 + 0 34 = -1 Solving 34 = -1 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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