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Simplifying -1x + -5 = 5(1 + 7x) + 6(5 + -6x) Reorder the terms: -5 + -1x = 5(1 + 7x) + 6(5 + -6x) -5 + -1x = (1 * 5 + 7x * 5) + 6(5 + -6x) -5 + -1x = (5 + 35x) + 6(5 + -6x) -5 + -1x = 5 + 35x + (5 * 6 + -6x * 6) -5 + -1x = 5 + 35x + (30 + -36x) Reorder the terms: -5 + -1x = 5 + 30 + 35x + -36x Combine like terms: 5 + 30 = 35 -5 + -1x = 35 + 35x + -36x Combine like terms: 35x + -36x = -1x -5 + -1x = 35 + -1x Add 'x' to each side of the equation. -5 + -1x + x = 35 + -1x + x Combine like terms: -1x + x = 0 -5 + 0 = 35 + -1x + x -5 = 35 + -1x + x Combine like terms: -1x + x = 0 -5 = 35 + 0 -5 = 35 Solving -5 = 35 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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