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Simplifying 6(8x + -1) + -6(7x + 1) = 6x + 13 Reorder the terms: 6(-1 + 8x) + -6(7x + 1) = 6x + 13 (-1 * 6 + 8x * 6) + -6(7x + 1) = 6x + 13 (-6 + 48x) + -6(7x + 1) = 6x + 13 Reorder the terms: -6 + 48x + -6(1 + 7x) = 6x + 13 -6 + 48x + (1 * -6 + 7x * -6) = 6x + 13 -6 + 48x + (-6 + -42x) = 6x + 13 Reorder the terms: -6 + -6 + 48x + -42x = 6x + 13 Combine like terms: -6 + -6 = -12 -12 + 48x + -42x = 6x + 13 Combine like terms: 48x + -42x = 6x -12 + 6x = 6x + 13 Reorder the terms: -12 + 6x = 13 + 6x Add '-6x' to each side of the equation. -12 + 6x + -6x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 0 = 13 + 6x + -6x -12 = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 = 13 + 0 -12 = 13 Solving -12 = 13 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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