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Simplifying 7(6x + -2) + -6x = 6(3 + 6x) + -17 Reorder the terms: 7(-2 + 6x) + -6x = 6(3 + 6x) + -17 (-2 * 7 + 6x * 7) + -6x = 6(3 + 6x) + -17 (-14 + 42x) + -6x = 6(3 + 6x) + -17 Combine like terms: 42x + -6x = 36x -14 + 36x = 6(3 + 6x) + -17 -14 + 36x = (3 * 6 + 6x * 6) + -17 -14 + 36x = (18 + 36x) + -17 Reorder the terms: -14 + 36x = 18 + -17 + 36x Combine like terms: 18 + -17 = 1 -14 + 36x = 1 + 36x Add '-36x' to each side of the equation. -14 + 36x + -36x = 1 + 36x + -36x Combine like terms: 36x + -36x = 0 -14 + 0 = 1 + 36x + -36x -14 = 1 + 36x + -36x Combine like terms: 36x + -36x = 0 -14 = 1 + 0 -14 = 1 Solving -14 = 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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